We had friends That had a slider screen ruined down low. No problem $$ repaired 3 days later ruined again. Trap captured a couple of squirrels near hole. $$ problem solved. They can also do damage to the wiring in attics and autos. I had a few that were unruly up north. they would come in the attic fan opening and some tried to get in through the siding. I was told when their teeth get too long they need to gnaw on something to Grind their teeth down. I made 10-12 trips out of town to displace the offenders. I think I eventually caught the offending rodents. And has no more problems. Still had squirrels but got rid of the bad ones. If you have oak trees near you you will have squirrels. Catch the buggers then fix the screen. Check this video. Copy and paste.
Crazy Squirrel Trying to Get inside Chewing Window Screen Funny - YouTube