This is why I wear a suit everywhere I go. Don't laugh, it's fashionable. If it's not the water, it's the air that will get you or your cham. That's why my cham only goes out in an environment controlled bubble along with my dog if we're not hermetically sealed in our home. We all also stopped...
Just feed the insects all day and night 24/7 a load of stuff. Takes all the thinking out of it and your Cham should be fine.
https://www.chameleonforums.com/blogs/entry/feeder-nutrition-amp-gutloading.75/
https://www.chameleonforums.com/blogs/entry/oxalic-acid-content-of-vegetables.215/
Hmmm, maybe I don't get the question but I use a dripper. I place it on top of the screen and it drips through it. I place a shallow container on the bottom/floor where the drops end up. Since I don't mover the dripper around the path is always the same and thus it collects water in said...
I use the fishing line method. Tie the fishing line around the branches end tightly, then knot at the end of the branch and then through the screen lightly knotting it over about an inch of area. It you're careful, no stretch on the screen. Pull too hard and well . . . you know.
Someone people...
I actually keep them in my Chms old 16" x 16" x 30" from when she was little. It's helped keep them alive much longer for me, I think it's the good air flow.