Sometimes they do eat their shed, but not as much as other species, such as geckos do. A couple of sheds ago I watched Amy zapping bits of shed off the cage floor! Funny creatures!
My first cham, Lily, would let me 'help' her shed. I would put on a knitted glove and she would hold on to my thumb with her front feet and rub her eyes and face on the glove! It was so cute! Amy did it once too, but that was only because she got bits of shed stuck in both eyes at once and couldn't see! She just sat there with her eyes shut, so out came the glove and she rubbed her shed off too! They are such rewarding pets to have.
I love it when mine shed - I find it fascinating and I love to try to match up bits of shed to the part of the body they came from! (Yes, I am a little sad, lol, but I love my chams!) I love how they shed the soles of their feet in one piece - it looks like they've taken their dirty socks off, lol!


Amy is today sheddin gone back leg! She shed the rest of her body over a week ago and I though she was finished!

Here's a link to thread I created about Amy's 'Snowstorm'!
https://www.chameleonforums.com/amys-snowstorm-28186/ and one about her dirty sock!
https://www.chameleonforums.com/amys-dirty-sock-29363/