Clean all traces of adhesive (and broken glass, if any) thoroughly from the case before re-sealing your watch.

Scour the case using a cleaning pad, or use the tip of an opening tool or spudger wrapped in a lint-free cloth or coffee filter, along with a little isopropyl alcohol (90% concentration or greater). In a pinch, a Q-tip may also work.

To remove the adhesive near the display cables, fold the display back down over the watch and carefully tilt it away from the frame so there's room to work.

Don't rush this step. Even a small amount of residue can prevent your display from bonding to the case, causing it to come loose over time.