[Xposed Framework Modules] Roughy:
Logcat is basically the Android system log. It is generated non-stop, living in a circular buffer that is constantly overwriting itself.

We are interested in the what happens between Swiftkey starting and the module finishing its setup.

Ideally you'll want to force-close swiftkey, then open the Swiftkey app itself and wait for it to get past the splash screen.

With Exi 2.3.5 and Swiftkey Beta 7.3.7.18 the expected output is

2019-08-26 04:40:01.396 1436-1436/? I/Exi/LoadPackageHook: Module loaded in com.touchtype.swiftkey.beta, CRC: ddad2f21, Module version: 2.3.5
2019-08-26 04:40:02.909 1436-1436/? I/Exi/Hooks: Elapsed for keyboard priority: 0.525 seconds
2019-08-26 04:40:02.936 1436-1436/? I/Exi/Hooks: Elapsed for emoji priorty: 0.027 seconds
2019-08-26 04:40:02.941 1436-1436/? I/Exi/Hooks: Elapsed for hardware priority: 0.005 seconds
2019-08-26 04:40:05.472 1436-1436/? D/Exi/PriorityPredictionsClassManager: candidatesViewFactory sim: Old: 0.9137666, new: 1.0
2019-08-26 04:40:05.526 1436-1436/? I/Exi/Hooks: Elapsed for prediction priorty: 2.585 seconds
2019-08-26 04:40:05.527 1436-1436/? I/Exi/Hooks: Beginning secondary setup
2019-08-26 04:40:05.842 1436-1436/? I/Exi/Hooks: Elapsed for Basehooks: 0.316 seconds
2019-08-26 04:40:05.842 1436-1436/? I/Exi/Hooks: Elapsed for Hardware keys: 0.0 seconds
2019-08-26 04:40:05.851 1436-1436/? I/Exi/Hooks: Elapsed for Stylehooks: 0.009 seconds
2019-08-26 04:40:05.852 1436-1436/? I/Exi/Hooks: Elapsed for Prevent period: 0.0 seconds
2019-08-26 04:40:05.856 1436-1436/? I/Exi/Hooks: Elapsed for Sounds: 0.004 seconds
2019-08-26 04:40:05.857 1436-1436/? I/Exi/Hooks: Elapsed for Emoji: 0.001 seconds
2019-08-26 04:40:05.897 1436-1436/? I/Exi/Hooks: Elapsed for Keys: 0.04 seconds
2019-08-26 04:40:05.942 1436-1436/? I/Exi/Hooks: Elapsed for Predictions: 0.045 seconds
2019-08-26 04:40:06.214 1436-1436/? I/Exi/Hooks: Elapsed for Popups: 0.272 seconds
2019-08-26 04:40:06.324 1436-1436/? I/Exi/Hooks: Elapsed for Selection: 0.11 seconds
2019-08-26 04:40:06.324 1436-1436/? I/Exi/Hooks: Finished secondary setup
2019-08-26 04:40:06.324 1436-1436/? I/Exi/Hooks: Total time elapsed: 3.939 seconds
2019-08-26 04:40:06.325 1436-1436/? I/Exi/Hooks: Elapsed for Total: 0.0 seconds
2019-08-26 04:40:06.329 1436-1436/? I/Exi/DebugTools: Cache Profile mismatch: 0.9137666. Target: foi_CANDIDATES_VIEW_FACTORY_OLD_PROFILE, class: Uwb
2019-08-26 04:40:06.329 1436-1436/? I/Exi/LoadPackageHook: Finished priority work in com.touchtype.swiftkey.beta
2019-08-26 04:40:06.735 1436-1436/? I/Exi/EmojiModifiers: I am a teapot
2019-08-26 04:40:06.842 1436-1436/? I/Exi/KeyboardHooks: Got theme loader instance

This is after it has already run once, so it's using the cache instead of searching for all new classes.

The cache can be manually reset by deleting EXI_CLASS_CACHE_com.touchtype.swiftkey.beta.json in Swiftkey Beta's internal files folder.

Note that this should not matter as this occurs automatically when the module or Swiftkey is updated.

Also let me know what keyboard layouts ( languages ) you are using, and if you've got any non-default Swiftkey settings enabled that might be throwing us for a loop.