Prevention is the Best Medicine
As with most things that matter, the best case scenario for a composition doll is to take care of it so that it doesn't need to be cleaned or restored. Because composition dolls are made of wood, they're affected by temperature changes. Wood expands and contracts in extreme temperatures, which can cause the crazing that you'll see in many dolls; heat will also cause the paint to flake. Because of this, you should never store them in an attic or basement. Your best bet is to display them in a glass case away from vents and direct sunlight.