Im new to chams too so I can only give you some ideas based on short term observation and observation of other lizard species. Im not new to lizards.
It looks like it could a deep dome that could also have a MVB Mega Ray or powersun (aka uvb that gives off heat too). But good question to ask because we don't know.
If it is a powersun or megaray I'd probably prop it up so its no closer than 6 inches to the cham especially if she climbs on the screen maybe it's just too much light or heat. I'd recommend this for any lizard with those types of bulbs due to the heat it gives off. I'd recommend this anyway with most types of uvb lamps 5.0 or greater.
She does look like she could use a bigger cage for sure though based on her size i think it's time to graduate.

Raising the lamps will bide her more space in the mean time while you get a new one.
As a beginner cham keeper...i see that at least mine is a lot like my parrots in that he likes secure perches.....floppy shady plants are great but I noticed my cham seemed more secure when I laid out the perches vines in a secure easy way for him to navigate. If he wants to go all Tarzan now he can...but at least he has those stable "branches" to be on.
My cham also loves his palm and the light shade it provides so it could just be that too....but that palm looks much more stable than the shaded perch options provides in your gals cage so perhaps is a grip/perch issue and also too much heat an light.
Just my 4 cents as a new cham owner but experienced with other exotic pets such as reptiles and tropical parrots (not just 2 cent because I write novels). Hehe