Continuity mistake: During Fred's dream sequence, Fred tells Barney that he missed watching Pebbles and Bamm-Bamm grow up and behind Barney there is a table and a painting on the wall. In a close-up of Barney in the next shot, both the table and painting have disappeared.
Continuity mistake: Before Mr. Slate takes a picture of his employees, Sandy (the one that Fred gives a hot foot to) is standing by two other men. When Fred gives Sandy a hot foot, the men have disappeared, and when we see the photo that Mr. Slate has taken, they are back again.
Continuity mistake: In the scene where Mr. Slate asks his employees to gather round for a group photo, Fred decides to liven up the situation by giving Sandy a 'hot foot'. When Mr. Slate takes the photo, Fred is lighting the match on Sandy's foot, but the picture that comes out of the camera shows him not lighting the match at all.