Put a warm damp cloth on the lifted edges. It will rehydrate the lifted skin and you can then glue it back on without giving it a crinkled raised look due to dry shrunken skin. For small areas like edges I use super glue. It will glue wet skin and you simply rub it under the skin(once rehydrated) with a toothpick and press from inner limb towards the edge. Keep your fingers moving and they wont stick.
Do a 4" area at a time. The bow is ready to shoot 10 minutes after you glue it.
If you don't want to refinish until after hunting season to keep your bow in use, cover with a good floor wax like Butcher's wax. Or even mink oil/pitch blend.
When ready to refinish, turpentine takes the wax off.