[G Tablet Themes and Apps] thomasca:
Well, I decided to dig around logcat to see what the issue was:

Got this when it hung at the loading indicator:

D/skype ( 2081): Transport.connect fails. Sleeping for a second.

D/skype ( 2081): Transport.connect fails. Sleeping for a second.

V/SID ( 2081): AVTransportWrapper (/tmp/pcm_from_skypekit_key): connected!

V/SID ( 2081): AVTransportWrapper (/tmp/pcm_to_skypekit_key): connected!

And then after canceling, got this:

I/dalvikvm( 2081): Uncaught exception thrown by finalizer (will be discarded):
I/dalvikvm( 2081): Ljava/lang/NullPointerException;:
I/dalvikvm( 2081): at com.skype.ipc.SkypeKitRunner.stopApp((null):-1)
I/dalvikvm( 2081): at com.skype.ipc.SkypeKitRunner.finalize((null):-1)
I/dalvikvm( 2081): at dalvik.system.NativeStart.run(Native Method)

V/SID ( 2081): UnixSocket.cpp:269(bool Sid::UnixSocket::Poll(int, short int, int)): poll error: m_Key: /tmp/pcm_from
_skypekit_key, revents: 0x11
V/SID ( 2081): SocketTransport.cpp:143(int Sid::SocketTransport::ReadToBuf(char*, int, int)): Poll error: 11
V/SID ( 2081): SidAVServer.cpp:90(Sid::Protocol::Status Sid::AVServer::ProcessCommands()): AVServerSession::ProcessCommands command reading failed: 1
V/SID ( 2081): ~AVTransportWrapper exit

W/MessageQueue( 2081): null sending message to a Handler on a dead thread
W/MessageQueue( 2081): java.lang.RuntimeException: null sending message to a Handler on a dead thread
W/MessageQueue( 2081): at android.os.MessageQueue.enqueueMessage(MessageQueue.java:179)
W/MessageQueue( 2081): at android.os.Looper.quit(Looper.java:173)
W/MessageQueue( 2081): at com.skype.raider.service.w.b(Unknown Source)
W/MessageQueue( 2081): at com.skype.raider.service.bf.v(Unknown Source)
W/MessageQueue( 2081): at com.skype.raider.service.SkypeServiceController.onDestroy(Unknown Source)
W/MessageQueue( 2081): at android.app.ActivityThread.handleStopService(ActivityThread.java:3076)
W/MessageQueue( 2081): at android.app.ActivityThread.access$3700(ActivityThread.java:125)
W/MessageQueue( 2081): at android.app.ActivityThread$H.handleMessage(ActivityThread.java:2099)
W/MessageQueue( 2081): at android.os.Handler.dispatchMessage(Handler.java:99)
W/MessageQueue( 2081): at android.os.Looper.loop(Looper.java:123)
W/MessageQueue( 2081): at android.app.ActivityThread.main(ActivityThread.java:4627)
W/MessageQueue( 2081): at java.lang.reflect.Method.invokeNative(Native Method)
W/MessageQueue( 2081): at java.lang.reflect.Method.invoke(Method.java:521)
W/MessageQueue( 2081): at com.android.internal.os.ZygoteInit$MethodAndArgsCaller.run(ZygoteInit.java:868)
W/MessageQueue( 2081): at com.android.internal.os.ZygoteInit.main(ZygoteInit.java:626)
W/MessageQueue( 2081): at dalvik.system.NativeStart.main(Native Method)

It actually did sign me in once, and I got this from logcat:

D/skype ( 2081): Transport.connect fails. Sleeping for a second.

D/dalvikvm( 1011): GC_EXTERNAL_ALLOC freed 22734 objects / 1099360 bytes in 149ms

V/SID ( 2081): AVTransportWrapper (/tmp/pcm_from_skypekit_key): connected!
V/SID ( 2081): AVTransportWrapper (/tmp/pcm_to_skypekit_key): connected!

D/WifiService( 1011): ACTION_BATTERY_CHANGED pluggedType: 0

D/dalvikvm( 1011): GC_FOR_MALLOC freed 7222 objects / 347752 bytes in 114ms

I/ActivityManager( 1011): Starting activity: Intent { cmp=com.skype.raider/.ui.startup.FeatureTourActivity (has extras)
}

D/dalvikvm( 2081): GC_FOR_MALLOC freed 7362 objects / 509032 bytes in 34ms

I/dalvikvm( 2081): Uncaught exception thrown by finalizer (will be discarded):
I/dalvikvm( 2081): Ljava/lang/NullPointerException;:
I/dalvikvm( 2081): at com.skype.ipc.SkypeKitRunner.stopApp((null):-1)
I/dalvikvm( 2081): at com.skype.ipc.SkypeKitRunner.finalize((null):-1)
I/dalvikvm( 2081): at dalvik.system.NativeStart.run(Native Method)

E/MediaPlayerService( 906): create BoardHWPlayer

E/OMXPlayer( 906): Creating new NVOMXPlayer: 0x2b048
E/OMXPlayer( 906): 0x2b048 setDataSource url=droid://32:512404:72508
E/OMXPlayer( 906): render thread(14766) started: 0x2b048
E/OMXPlayer( 906): prepareAsync: 0x2b048
E/OMXPlayer( 906): prepare 0x2b048
E/OMXPlayer( 906): 0x2b048 Creating player for: droid://32:512404:72508
E/OMXPlayer( 906): prepare done 0x2b048
E/OMXPlayer( 906): render - signal wait 0x2b048
E/OMXPlayer( 906): start 0x2b048
E/OMXPlayer( 906): render - signal rx'd 0x2b048

D/dalvikvm( 1380): GC_EXPLICIT freed 10 objects / 368 bytes in 81ms
D/dalvikvm( 2081): GC_EXTERNAL_ALLOC freed 2280 objects / 159232 bytes in 28ms

I/ActivityManager( 1011): Displayed activity com.skype.raider/.ui.startup.FeatureTourActivity: 851 ms (total 851 ms)

E/OMXPlayer( 906): playback complete: 0x2b048
E/OMXPlayer( 906): playback complete - wait for signal 0x2b048
E/OMXPlayer( 906): reset: 0x2b048

D/ ( 906): setting block activity: 1
D/ ( 906): setting block activity: 0

E/OMXPlayer( 906): reset done 0x2b048
E/OMXPlayer( 906): destructor: 0x2b048
E/OMXPlayer( 906): playback complete - signal rx'd 0x2b048
E/OMXPlayer( 906): Worker Thread Exit -

D/ ( 910): NVRM_DAEMON(461): client process closed connection
D/ ( 910): NVRM_DAEMON(461): client process closed connection
D/ ( 910): NVRM_DAEMON(461): client process closed connection

E/OMXPlayer( 906): reset done 0x2b048
E/OMXPlayer( 906): destructor: 0x2b048 done

But then it crashed after the screen where it asks me if I want to sync all my contacts, and I said yes.

W/ActivityManager( 1011): Timeout executing service: ServiceRecord{4a787050 com.skype.raider/.service.SyncProviderServic
e}

I/Process ( 1011): Sending signal. PID: 2081 SIG: 3

I/dalvikvm( 2081): threadid=3: reacting to signal 3
I/dalvikvm( 2081): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1011 SIG: 3
I/dalvikvm( 1011): threadid=3: reacting to signal 3
I/dalvikvm( 1011): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 14982 SIG: 3
I/dalvikvm(14982): threadid=3: reacting to signal 3
I/dalvikvm(14982): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1379 SIG: 3
I/dalvikvm( 1379): threadid=3: reacting to signal 3
I/dalvikvm( 1379): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1380 SIG: 3
I/dalvikvm( 1380): threadid=3: reacting to signal 3
I/dalvikvm( 1380): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 2052 SIG: 3
I/dalvikvm( 2052): threadid=3: reacting to signal 3
I/dalvikvm( 2052): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 14932 SIG: 3
I/dalvikvm(14932): threadid=3: reacting to signal 3
I/dalvikvm(14932): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1455 SIG: 3
I/dalvikvm( 1455): threadid=3: reacting to signal 3
I/dalvikvm( 1455): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1503 SIG: 3
I/dalvikvm( 1503): threadid=3: reacting to signal 3
I/dalvikvm( 1503): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 14918 SIG: 3
I/dalvikvm(14918): threadid=3: reacting to signal 3
I/dalvikvm(14918): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 14890 SIG: 3
I/dalvikvm(14890): threadid=3: reacting to signal 3
I/dalvikvm(14890): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 14907 SIG: 3
I/dalvikvm(14907): threadid=3: reacting to signal 3
I/dalvikvm(14907): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 14847 SIG: 3
I/dalvikvm(14847): threadid=3: reacting to signal 3
I/dalvikvm(14847): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 20292 SIG: 3
I/dalvikvm(20292): threadid=3: reacting to signal 3
I/dalvikvm(20292): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1875 SIG: 3
I/dalvikvm( 1875): threadid=3: reacting to signal 3
I/dalvikvm( 1875): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 5481 SIG: 3
I/dalvikvm( 5481): threadid=3: reacting to signal 3
I/dalvikvm( 5481): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 5426 SIG: 3
I/dalvikvm( 5426): threadid=3: reacting to signal 3
I/dalvikvm( 5426): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1388 SIG: 3
I/dalvikvm( 1388): threadid=3: reacting to signal 3
I/dalvikvm( 1388): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1922 SIG: 3
I/dalvikvm( 1922): threadid=3: reacting to signal 3
I/dalvikvm( 1922): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 3150 SIG: 3
I/dalvikvm( 3150): threadid=3: reacting to signal 3
I/dalvikvm( 3150): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 3031 SIG: 3
I/dalvikvm( 3031): threadid=3: reacting to signal 3
I/dalvikvm( 3031): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 3024 SIG: 3
I/dalvikvm( 3024): threadid=3: reacting to signal 3
I/dalvikvm( 3024): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 3009 SIG: 3
I/dalvikvm( 3009): threadid=3: reacting to signal 3
I/dalvikvm( 3009): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 30776 SIG: 3
I/dalvikvm(30776): threadid=3: reacting to signal 3
I/dalvikvm(30776): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 30031 SIG: 3
I/dalvikvm(30031): threadid=3: reacting to signal 3
I/dalvikvm(30031): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1514 SIG: 3
I/dalvikvm( 1514): threadid=3: reacting to signal 3
I/dalvikvm( 1514): Wrote stack traces to '/data/anr/traces.txt'
I/Process ( 1011): Sending signal. PID: 1965 SIG: 3
I/dalvikvm( 1965): threadid=3: reacting to signal 3
I/dalvikvm( 1965): Wrote stack traces to '/data/anr/traces.txt'

E/ActivityManager( 1011): ANR in com.skype.raider
E/ActivityManager( 1011): Reason: Executing service com.skype.raider/.service.SyncProviderService
E/ActivityManager( 1011): Load: 0.34 / 0.16 / 0.16
E/ActivityManager( 1011): CPU usage from 10344ms to 11ms ago:
E/ActivityManager( 1011): system_server: 2% = 1% user + 1% kernel / faults: 87 minor 2 major
E/ActivityManager( 1011): y.mobile:remote: 0% = 0% user + 0% kernel / faults: 3256 minor
E/ActivityManager( 1011): ogle.android.gm: 0% = 0% user + 0% kernel / faults: 65 minor
E/ActivityManager( 1011): events/0: 0% = 0% user + 0% kernel
E/ActivityManager( 1011): e.process.gapps: 0% = 0% user + 0% kernel / faults: 56 minor 1 major
E/ActivityManager( 1011): android.browser: 0% = 0% user + 0% kernel / faults: 50 minor 1 major
E/ActivityManager( 1011): mmcqd: 0% = 0% user + 0% kernel
E/ActivityManager( 1011): droid.wallpaper: 0% = 0% user + 0% kernel / faults: 22 minor
E/ActivityManager( 1011): ft.keyboardplus: 0% = 0% user + 0% kernel / faults: 16 minor
E/ActivityManager( 1011): om.skype.raider: 0% = 0% user + 0% kernel / faults: 33 minor
E/ActivityManager( 1011): com.svox.pico: 0% = 0% user + 0% kernel / faults: 24 minor
E/ActivityManager( 1011): nie.geniewidget: 0% = 0% user + 0% kernel / faults: 64 minor
E/ActivityManager( 1011): viders.calendar: 0% = 0% user + 0% kernel / faults: 23 minor
E/ActivityManager( 1011): TOTAL: 9% = 2% user + 2% kernel + 0% iowait + 4% softirq

D/skia ( 1011): purging 193K from font cache [25 entries]

Force closed Skype, restarted it, and got this:

I/ActivityManager( 1011): Starting activity: Intent { act=android.intent.action.MAIN cat=[android.intent.category.LAUNCH
ER] flg=0x10200000 cmp=com.skype.raider/.ui.SplashScreenActivity }
I/ActivityManager( 1011): Start proc com.skype.raider for activity com.skype.raider/.ui.SplashScreenActivity: pid=17662
uid=10057 gids={3003, 1015}

D/dalvikvm(17662): Debugger has detached; object registry had 1 entries
D/dalvikvm(17662): GC_FOR_MALLOC freed 2011 objects / 137984 bytes in 30ms

I/ActivityManager( 1011): Starting activity: Intent { cmp=com.skype.raider/.ui.startup.IntroToSkypeActivity (has extras)
}
I/ActivityManager( 1011): Starting activity: Intent { flg=0x4000000 cmp=com.skype.raider/.ui.startup.SignInActivity (has
extras) }

W/Resources(17662): Converting to string: TypedValue{t=0x12/d=0x0 a=2 r=0x7f0d0021}
W/Resources(17662): Converting to string: TypedValue{t=0x12/d=0x0 a=2 r=0x7f0d0021}

D/FlurryAgent(17662): Starting new session
D/FlurryAgent(17662): Sending report to: http://data.flurry.com/aar.do

I/Process (17662): Sending signal. PID: 14594 SIG: 9
I/Process (17662): Sending signal. PID: 14598 SIG: 9
I/Process (17662): Sending signal. PID: 14600 SIG: 9
I/Process (17662): Sending signal. PID: 14601 SIG: 9
I/Process (17662): Sending signal. PID: 14602 SIG: 9
I/Process (17662): Sending signal. PID: 14604 SIG: 9
I/Process (17662): Sending signal. PID: 14605 SIG: 9
I/Process (17662): Sending signal. PID: 14606 SIG: 9
I/Process (17662): Sending signal. PID: 14608 SIG: 9
I/Process (17662): Sending signal. PID: 14619 SIG: 9
I/Process (17662): Sending signal. PID: 14757 SIG: 9

I/global (17662): Default buffer size used in BufferedInputStream constructor. It would be better to be explicit if an
8k buffer is required.

D/dalvikvm(17662): GC_FOR_MALLOC freed 3538 objects / 234272 bytes in 36ms

D/skype (17662): Transport.connect fails. Sleeping for a second.

D/dalvikvm( 1011): GC_EXTERNAL_ALLOC freed 20621 objects / 1039464 bytes in 122ms

D/FlurryAgent(17662): Report successful

I/ActivityManager( 1011): Displayed activity com.skype.raider/.ui.startup.SignInActivity: 1014 ms (total 2835 ms)

D/dalvikvm(17662): Trying to load lib /data/data/com.skype.raider/lib/libpcmhost.so 0x4a59e608
D/dalvikvm(17662): Added shared lib /data/data/com.skype.raider/lib/libpcmhost.so 0x4a59e608

V/SID (17662): AVTransportWrapper (/tmp/pcm_from_skypekit_key): connected!
V/SID (17662): AVTransportWrapper (/tmp/pcm_to_skypekit_key): connected!

D/skia ( 1011): purging 196K from font cache [26 entries]

D/dalvikvm( 3024): GC_EXPLICIT freed 451 objects / 19984 bytes in 57ms

D/WifiService( 1011): ACTION_BATTERY_CHANGED pluggedType: 0

D/dalvikvm(14847): GC_EXPLICIT freed 5798 objects / 776232 bytes in 75ms
D/dalvikvm( 1455): GC_EXPLICIT freed 533 objects / 25688 bytes in 69ms
D/dalvikvm( 1388): GC_EXPLICIT freed 470 objects / 45040 bytes in 84ms

And got the following ANR trace that I sent to Skype. It's attached to this post.