There may be a variety of reasons why a cat may twist its wrist. It may be that the cat is scared or upset and wants to escape its current environment. It may also be because the cat is playing and hopes to show its energy and abilities in this way. Cats sometimes twist their wrists because they find it interesting to have something on their wrist, such as a belt or watch.
If your cat frequently twists its wrists and it causes pain or injury, it is recommended that you seek help from a professional animal behavior consultant . They can help you understand your cat's motivations and give you appropriate advice to help you resolve the issue.