I assume you mean to invert the mask on this new layer and then paint with a white brush with the mask active.
The beauty of this method is that you can also use it to dodge (dodge effect, not actual dodging) other areas, like the whites of the eyes or highlights in the hair, wherever you need special brightening. I think there may be a bit more noise introduced with the actual dodge and burn tools, as I recollect from experience. This method also can preserve dark areas if the new layer is contrasty as well as brighter. Works for everything, as was mentioned (color, saturation, etc.), a layer for each if you want to get specific on your touch-up. The layer can also be reduced in opacity, obviously.