Heating the area around the home/Touch ID sensor will help soften the adhesive holding its delicate cable in place, making it easier to remove safely.

Flip the display assembly over. Use a hairdryer or prepare an iOpener and apply it to the lower edge of the display for about 90 seconds in order to soften up the adhesive underneath.

Don't overheat the display. It should be slightly too hot to touch comfortably.