If her nails are getting hung in anything - they need to be trimmed. Since you just got her, you could schedule her well check with a vet and have them trim her nails to show you how to do it safely. Only the tiny sharp tip needs to be cut. It is important to have the vet do fecals on her also to make sure she is free of parasites. Gliders do not always show symptoms when they have parasites. Better safe than sorry.
Good luck with your new suggie.