Probably not, unless it does. *g*

Serious answer - there are a few other factors involved besides overall weight and even fit of the gun. Does it have a modern recoil pad, or do you expect to be installing one? A good pad will soak up quite a bit of the perceived kick. What kind of loads do you intend to use? If it's a newer gun that can take 3" shells, of course they'll recoil more than a 7/8 oz target load. Do you plan on shooting it a lot at clay targets or just enough clays to become comfortable with it and then reserve it for hunting?

Speaking for myself, the light weight wouldn't concern me at all on a hunting gun.