Pre-cut adhesive alternatives. What should we use?

Hi,

I was asked by a friend to replace the glass on his P9. All went well till the part where I had to reattach the assembly to the metal chassis. Since I couldn't find pre-cut adhesive, I used the classic double-sided tape for the top and bottom edges (3M). The thing is, the bezels are so narrow that the 1 mm tape would prevent the screen from fitting properly. Eventually, I glued the assembly using only the top and bottom edges. It seems to be properly fixed, but the sides have gaps and that's kind of annoying.

Q: What can I use to glue the narrow sides of the assembly to the chassis as an alternative to the traditional pre-cut adhesive? I read about gel glues (B7000, Gorilla Glue etc.) but I'm worried that the glue will get in between the polarizing films of the LCD.