My veiled, Charlotte, would do chores with me on my shoulder. She would sit on my shoulder pretty comfortably as I would dust or fold clothing or whatever. She'd get pretty restless if I didn't open her cage door, at which point she would wander up my arm and stay there until she's climb down, walk over to her free range or the feeder bins, and do her own thing for a while. If you're wearing clothing there's no reason they would fall. And my apartment are always carpeted, so even if she did fall 4-5' onto soft carpet she wouldn't notice. Chameleons are good at falls, after all.
I have also taken my most docile panther, Daedalus, to university events, reptile shows, the vet, pet stores, etc., he does great and does a lot to challenge chameleon myths with the general public. But he has the temperament for it, other chameleons of mine would not tolerate that much activity. But Daedalus feels right at home, he'll eat from the hands of perfect strangers in the middle of a show.
If your does this, post a pic.
