Now that you mention it, I think it may have been the episode where Wally gets a shave from the barber. I am certain the guy who played Floyd also played a barber in “Leave it to Beaver”.
I’ll see if I can find out on IMDB.
OK, I found it. You are right. Howard McNear, who played Floyd the Barber, was on an episode of Leave it to Beaver, Season 2, where Wally wants to get a shave. He played
Andy the Barber on that episode.