Time for facts.. As no one commented on my post above, I talked to my (highly skilled) SMD repair connection, and it turend out, that he knew both the issue, and the cure.
This annoying "double click" is caused by a damaged BGA soldering, on one of the small components on the HB flex, and arise when forcing the HB flex off the screen frame to fast, and without heat. Adjusting the screw as suggested elsewhere in this thread, will just arc the flexcable in slightly different positions, and thus the loose component might (in some cases), achieve connections required to function properly. In other cases (mine), not so much.
The correct repair, is to re-solder the HB Flex componment.
To avoid this in the future, heat the glass just right of the HB, to abt 60-70 degree celcius, and use something very thin, to slowly pry off the flexcable towards the HB key. I did it like this from day one, and haven't had this problem once. DO NOT heat up the HB key it self.. I am sure it will "break" somehow, and render your (or your customers) i7 useless.
I hope this will help some of you! ;-)