I saw this as well as a kid. I think it was an old anthology series on HBO, at first I thought it was an episodes of Amazing Stories but none seem to fit.
The ending has the dad telling the kid that it wasn't so bad (or something similar) and the kid asks "What?" as the barber drops the ear in the jar.
I'm pretty sure that's the same thing. And that was in the brief period in my child when we had premium channels (and cable TV in general).
I know it wasn't "In Living Color".