What type of food are you feeding him? Do you keep hay (loose and cubed) in there with him all the time? I keep mine on a schedule for feeding as well. Chinchillas LOVE routine. I feed mine 2 tablespoons of Mazuri Pellets twice a day. Once in the early morning and once in the late afternoon (their wake up time). I keep loose fresh hay in their cages all the time, any time I see it getting low, I add more. I also keep the cubed hay and give them each a half cube per day. The two kinds of hay ensure your chinchilla is wearing down his teeth properly and preventing a tooth problem later on. The loose hay (I believe) allows the chin to wear down both back and front teeth, where the cube hay only wears down the front. (Don't hold me to that, I may have it backwards!) But the point is that to keep both available all the time should be enough to allow him to eat as much as he needs to without you worrying about him gaining or losing weight.
It is also a good idea to weigh your chinchilla about once a week or every two weeks and keep a record of it. That way you can detect any extreme change immediately and possibly be more helpful to him if something is wrong.