If a phone were to be designed with an edge-to-edge screen, it would lack a hardware home button on the front. Therefore it would require a new way to go to the Home screen. Advanced gestures often requires two hands, which is not optimal for such a frequently used feature. 

A more intuitive way could be to equip the phone with a pressure-sensitive body. The phone could then be squeezed and the current app would shrink and return the user to the Home screen. 

This could be a real wow effect. Seeing how the phone reacts to your grip and then having the app vanish in the palm of your hand. 

To avoid ‘squeeze to go Home’ from happening by accident, a visual cue could show that pressure is being applied. In this concept, the app begins to shrink to reflect the pressure that is being applied. When the pressure goes over a defined threshold, the user is returned to the Home screen.

The strength of a users grip will of course vary. Therefore, a setting for how much pressure that’s needed before an app is exited could be a good idea.