The purpose of clipping the line on a deeply hooked fish is to minimize the damage from trying to get the hook out. Regardless of where the hook goes after it's clipped, that's less damaging than ripping out it's gills or stomach. This is particularly true for salmon headed upstream to spawn. If it's a wild fish that's deeply hooked, just clip the line and let it go. That's the best you can do.

Except, of course, you could sell all your fishing tackle and take up bowling. You won't hurt any fish doing that......