I have a 260 in a Remington model 7 that tips the scales at 6lbs straight up.
I have had light weight rifles in bigger cal. all the way up to and including a 300 RUM that went just over 7.5 lbs (that was too much of a good thing for me).
I built a 7mm WSM that was 7 lbs scoped out and it was not fun to shoot from the bench unless you had the muzzle brake installed.
Just what I have learned is that when you lighten a rifle up be sure you think about what round you are building around. The recoil gets real stiff in a hurry as the rifle looses weight.
For me, my 270 WSM that was just a tick over 7 lbs scoped out was about all I wanted shooting 130 gr bullets. Much more recoil and it would not be fun at all.
My 260 will shoot a 100 gr bullet at 3275 FPS and recoil is not bad at all. This is what I hunt with most all the time now and have sold all my other light rifles (they looked good on paper but after shoulder surgery, they were not fun to shoot). I will admit that the 100gr might be light for elk, but you can always jump up to a 140 gr for that.