I don't own one. Have a safe full of other guns including a couple of 308's that have become my favorite. I'd like to have a 7-08, but I ain't selling the 308's and can't justify another rifle so close in performance.
But.... if my house were to burn down and I lost everything and had to start over a Kimber 84M in 7-08 would be the 1st, and maybe only rifle I'd buy with the insurance money.
Much like the 308 it is a well balanced round that shoots flat, has little recoil and with the right bullets will kill anything in NA. Most would consider it on the light side for larger game, but it actually beats traditional 7X57 loads. The 7X57 has been around since 1892 and has killed every animal on the planet, incuding a bunch of elephant.
Nothing wrong with the 30-06, it is the round I've hunted with more than any other. But as I've gotten older I have realised it is simply way more gun than 99% of shooters need. If a 7-08 or 308 won't do it, you really need a lot more gun than a 30-06.