It depends on what type of rifle you're looking into. If you have a 9 pound 30-06 and you're looking at getting a 6 pound 7mm-08 you probably won't notice too much difference in recoil. I once owned those two rifles and both were 6.75 pounds. There was a huge difference in recoil between the 7mm-08 and a 30-06.

My advice would be to get a 7mm-08 that weighs 7.5 pounds all ready to go. It's recoil will be very light on the shoulder. I have a similar rifle and it recoils about like my son's 6mm (they're both REM 600s). Recently, I hung an McM EDGE on it and is now 6.75 pounds and it still a pussycat. If you don't want a 7mm-08 then go for a 257Bob, 243WIN, 260REM or similar.

RH