It depends. They usually fly short distances. But in the wild I have seen them head up high then glide down the hill easly 1000 yrds. Makes hunting them a pain. They do flush a lot like quail. There wing feathers are a lot like quail not made to fly to far.
Sure you could cut chukar wings, it's not recomended by most. They'll still grow new feathers every year. I would only cut them if they where in a secured area away from predators. I just believe upland game birds wing's shouldn't.