How light it is may be relative to what you are used to.
With the gun unloaded...(look again...once more)...and pointed in a safe direction, cock the hammer. With firm, not hard pressure, push on the back of the hammer. if it falls, it is unsafe. The condition is refered to as "push off". If you can push on it with moderate pressure, and it remains cocked, its working properly.
The single action can vary from moderate to "holy crap, did that thing just go off?" And, still be within specs.
Its actually a pretty easy fix, but, best left to a competant S&W armorer or the factory.