Chameleons usually find their favorite place to hang out after they are done basking. They dont constantly move around. Is he eating alright?...how does his poop look?
In another thread you said...."one of my light went dead and i have been looking forward to replace it but the bulb is hard to find"...how warm is it in the hottest part of the cage...maybe your chameleon isn't warm enough and sits there to stay warm?