Sure it will work,you just have to decide how light you want it to be.
Exactly. For those who say "why buy a light rifle and put a heavy scope on it," my answer is, so that the rifle/scope combination is a pound or two lighter than it would have been with a heavier rifle.
Yep. Besides that, a heavy scope is built heavy for a reason. It has heavy (read that durable) components. There is no free lunch. A NF or SS is heavy and will take a beating. A Leupold is OK for a light scope. You can only do so much with light components.
Pick your tradeoff. Personally, I am done with light rifles. I will take a medium rifle with a heavy scope any day for the ease of shooting and dependability. But then again, I don't mind packing a little extra weight while hunting, either.