The 308 is the perfect short action caliber. It can go from 125 grain in a light recoil loadings to 180 grain bullets.
The 7-08 does exactly what the 308 does.
Now some will argue this way or that, but you already have a few 308's. The 7-08 is not going to become something the 308 wil not do and vice versa. and you can argue that 257 Roberts,25-06, 260 Rem,6.5X55, 270, 7-08, 7X57, 300 Sav, 308, 30-06 are all so close as to do what the other does as a general purpose hunting rifle
If you are an organized guy nad can keep the rounds seperate, they look so similar at first glance you could grab one for the other and screw up a hunt.
Not sure what you want the gun for buy maybe a 243 would be another choice for smaller game.
But if 7-08 has your boat floating then get one.
I hopefully have an Antelope hunting trip to Wy this fall and was thinking my 9.5 pound 308 would be a littel rough to lug around chasing the speed goats ans was looking at other options for a hunting rifle and looking at the available ammo there was a lot of 7-08 on the shelf where I could buy three or four bullet weights and styles to try what would be best and then purchase more for the hunt. I was looking at different light weight rifles in the 6 poind range that would be about 7.5 pounds with optics and sling.