This is the exact reason we have a closed cage. We used a PVC pipe to support the lid, so the weight of the cat will not cave it in. It is attached to the lid, so when you lift the lid, the pipe goes up with it. The cat is NEVER allowed on top, however, the camera was handy when I caught her and I wanted to snap a few photos before grabbing the squirt bottle. Our other 2 cats don't do this...but this one is relentless and stubborn.