When I was a kid we'd sometimes eat " Cheeks and Tongues," from codfish.
The cheeks were removed from the fish by a sweeping circular motion in the meaty part of the face, below and behind the eye. The tongues were the whole bottom part of the mouth inside the jawbone. I believe this was primarily an old fashioned method of eating fish if you were too poor to but the filets...used to be you could actually buy the fish heads at fish markets. The cheek meat was no different from that of the rest of the fish, and the tongue meat was not that nice as you couldn't separate it from the greyish skin.
Having said all that, it would take a ton of cheeks to make a meal. You'd have to save 'em from about ten keepers, just to have a snack. I've never heard of any one eating striper cheeks, but if you're like me, and hate to be wasteful, ( And I think you are,) it might be worth trying to pry 'em out of your next keeper.....