[cypher]

Some hams do chew a lot more than others & may need to be in a tank style cage to prevent it but it can just be from boredom or attention seeking.
Make sure you have lots of enrichment in the cage so she has plenty to do, the HH is still on the small side for a Syrian so that may also be a part of the problem.
You can give them whimzee dog chews which they love so that can help prevent them chewing on things they shouldn't.
Try scatter feeding rather than using a bowl so she can forage for her food.
There's a thread here with other ideas that might help.
Managing Bar Chewers