[Galaxy Note GT-N7000 General] hamsteyr:
I guess I'd like to chime in on this as someone who has managed to do this process successfully on a number of occasions. I've gotten good enough at it that I've taken on helping other people repair their phones for a fee, and am contemplating on just having an ad out there as side income for myself, so here goes.

The first thing I usually do, is with cracked displays, is to layer the top with packing tape, just to make sure that the shards of glass don't go anywhere.

From there, I use a heat gun set at very low heat and heat the phone evenly, moving around for about 30 seconds (do not stay at one spot, keep moving, either in a zig zag or circular motion. The display should be hot, but not overly hot till it burns you. All you're doing is just loosening the adhesive a little.

Start by lifting up the glass from the top edge of the phone, where the earpiece is, and slowly and gently try and lift it up. I use plastic phone opening tools as well as spudges. It should give way relatively easily with light pressure. If it gets difficult, again with low heat, run the heat gun over the next effective area of lifting. I do not recommend metal tools as they can and WILL (from experience) damage the LCD below if you're not careful.

Slowly and gently make your way down the phone to the capacitive buttons, and if you hit little shards of glass, be patient with them. It's patience that will get you your screen replaced hitch free.

Once you get the display edges off, don't get too happy and rip the rest off, because the capacitive buttons are glued onto the display as well, with adhesive. Slowly heat up that area as well, and I recommend this time, with a pair of thin long metal forceps, go in and slowly peel it off the glass

Once you have that off, you can easily separate the glass from the body, and from there what I do is I clean up the body and the display with isopropyl alcohol, to get the remaining glue residue off the display, and prep it for a new pane of glass to go over. It is at this stage that you should work in a dust free room, or at least no AC/ no FAN. Those are my rules anyway.

This is the part that I highly recommend doing, which is fully disassembling the phone, removing all the internal components until you're left with just the inner body and the outer frame. What I do is that I snap the inner body into the outer body, free of any of the internal components (cameras, sensors, anything that you can remove), such that and excess display will not seep into them and damage the components (again, I've had this happen to me)

If the replacement glass that you bought does not come with replacement adhesives for the body (not for the screen), then what I suggest you use, (which I use as well) is a combination of 1mm or 2mm, 3M 9448 Tape for Electricals. Normal tape is not nearly as adhesive or thin enough for the job.

After having done so, this is the part where unless you have an autoclave unit lying around, you're going to be using LOCA (Liquid Optical Clear Adhesive) and not OCA (Optical Clear Adhesive). This is the adhesive layer in between your display and the glass. Apply the Loca on the display in sort of a Y shape on both ends, while leaving plenty of space on the borders

Above is how I apply the LOCA on my display, and I don't go too generous with it, otherwise you have to deal with a lot of leakage later. Remove all protective plastic from the new glass pane, and slowly lower it, bottom first, then top, such that the bottom becomes like a hinge for lowering the display on to. Do not be bothered if the liquid doesn't spread evenly at this point. Even a bit of air bubbles can be solved later. For now, press the glass down onto where you placed the 3M tape before, securing the glass on the body. This also helps the glue from coming out of the edges later. The glue will naturally spread a little after doing this.

I usually start by pressing the center of the display, to try and spread the glue out onto the whole display, and this process may take some time, especially if you're trying to get those pesky air bubbles out. What I do is that I slowly but surely get them into the edges, and make sure they don't appear again.

I then go over the display with a UV Flashlight of 365nm, on places like the corners where I'm happy with the results (i.e. no airbubbles), for about 15 seconds. The purpose of this step is to harden the glue a little there such that when you're doing your final bake, they don't suddenly creep up on you. Do this for edges where you have problematic air bubbles as well, and once you're done, it's time for the final bake.

I use a 48W UV light that I got off the internet, and I bake the top of the phone for about 20 minutes, then I remove the outer frame, leaving only the inner body + glass, and I bake the other side of the display as well for a further 5 minutes. This is to harden the excess glue as well, that way it's easier to remove and clean up.

When all that is done, it's time to put the phone back together, so I hope you remembered which component goes where and how, and where each screw goes as well.

The final results? A happy phone that's ready to be used again :)

Note: If you get a gummy/ Sticky home button with a bit of the glue seeping out, what I do is that keeping the phone upright at about a 45 degree angle, I drop about 3 drops of isopropyl alcohol down the home button, and let it go in a little, and using a cotton pad, keep mashing the button until the solvent thoroughly gets in and dissolves and excess underneath.

Sorry if this post was long, but I thought that my experiences would be helpful to others (y)