What adhesive to use when replace screen

First of all, you sir, are insane for even touching something this microscopic.

Second off, I would use a VERY small amount of plain old super glue, crazy glue, or clear epoxy resin, around the edges of the LCD frame (apply with a toothpick etc)

Or I would use Optically Clear Adhesive (OCA) glue on the screen to bond it to the digitizer.

OCA glue is a UV activated glue that's specifically meant fo bonding LCD screens to digitizers you can get it off eBay for as little as 5$

Personally I'd go with the super glue.

Hope this was helpful! Good luck!