Think you should be fine your cham doesnt sleep during the day right? and are you sure your cham sleeps with one eye open all night?Oh another thing do you have any lights on around his set up that may be bothering him or noise and movement.
If your up and need light in the room past your chams lights out time, you can place a t shirt or two over the cage to make it dark until you go to bed. Then just take them off.