I never try to handle my pnther except when necessary, but i actually have to dodge my cham from climbing up my arm most times i'm near. Should this be discouraged? Or okay as long as the cham chooses to?
What you are describing might not be that big a deal but it helps to understand what is motivating that behavior. You can only get a grasp on their motivation when you test your hypothesis. When trying to understand any behavior, it always helps to start at the beginning with understanding natural behavior of the species in the wild.
The big question to ask is: Why would a chameleon choose to climb up the arm of a potential predator?
Here's an example to illustrate that what you think you see isn't always what is really going on:
I took a recently imported a sub adult T.q.gracilior male to the vet. I had him in a little tote inside a dark bag to reduce stress until he was examined by the vet. Upon opening the tote, he appeared very calm. (Note that I said "appeared" calm, not that he was in fact calm.) He stayed normal, relaxed colors. Having a very large collection of graciliors, I know what relaxed colors look like. He quietly climbed out of the box, sitting on the edge. The box was in the middle of the examining table in a brightly lit room. When the vet presented his hand, the chameleon calmly reached up and walked up onto his hand. The vet examined him and returned him to me whereby I put him back in his box in the dark bag. Not once did he exhibit any visible signs of stress. He was the picture of calmness.
But, how could he possibly be calm? He would have had to be brain dead to be calm. He had been imported just a couple of months before. Collectors are not noted for their animal-friendly handling techniques, nor are exporters who stuff them in bags to ship to North America.
All his interactions with humanity had been those of force and very similar to a predator grabbing him. At the vet's, he was out in the open--one of the most vulnerable places a small prey animal can be. Remember, chameleons cannot flee and their ability to fight is pretty pathetic. Think how easy it is to catch a chameleon once you spot him. Mice are pretty fearful and furtive but can you catch one? A chameleon is pretty defenseless once spotted by a predator so being out in the open is a pretty bad place for a chameleon to be. He had been medicated, so held many times around the body the same way a predator grabs prey before killing and eating it. There were absolutely no good interactions with humanity.
So here was a wild caught who had had zero positive interactions with humans who appeared calm. It is not likely he was very calm. It is more likely that I didn't recognize any indications of stress he might have been exhibiting.
The only way I would be able to prove his stress levels would have been to pull blood from him and analyse it for stress hormones because visually, he was the picture of calm.
So, back to my original question of why would he choose to climb onto the arm of a (known) predator? It was likely escape behavior. He was escaping being low and vulnerable and going up hoping to find safety.
Your chameleon might be escaping a very confining (to him) cage. He might be trying to expand his territory. He might be escaping what to him is a dangerous place to be. Who knows. No one can read a chameleon's mind and it does them a disservice to try. We humans constantly misunderstand understand our own species even when we talk to each other in the same language.