well, I would just make sure that no glue is showing around the branch and the screen when you glue it just incase. I doubt a chameleon would eat it but you never know and why take the chance. I just don't know how secure it would be and you wouldn't want the branch coming undone with your cham on it and take the risk of him getting injured from a fall. Also, when you say "them" are you housing more than one chameleon in a cage?.