Continuity mistake: During the hearing, when Perry Masonry is questioning his client about being fixed financially, part of Perry's string loop closure on his clothing vanishes within the same shot, and then reappears. A few moments later Perry's two parallel strings are crisscrossed, then both are back to normal. Later, when Barney asks Perry if he can hold Bamm-Bamm, once again Perry's parallel strings become crisscrossed. (00:20:35)
Continuity mistake: While Fred and Barney are being chased by the police, in the closeup of the stop/go signal we see two ropes beside the monkey's hand - one controlling "stop" and one for "go", but in the wideshot there's only one rope hanging from the post, apparently controlling both "stop" and "go" signals. (00:19:55)
Continuity mistake: When Wilma and Betty are looking at the jobs in the wanted ads, there is a purple cloth between the green and pink cloth on the washing line, but when the two are looking at Dino playing with Pebbles, the purple cloth has disappeared. There's also a basket by Wilma that moves to the end of the washing line.
Continuity mistake: When Fred is trying to work out what kind of talent Pebbles has, she has her bathing suit on. When Pebbles is seen crawling onto the stage when it's her turn, she has her regular clothes on, and when Pebbles is on the stage with Dino, she has her bathing suit on again.
Continuity mistake: When Betty and Bamm-Bamm are having their breakfast at the table, you can see there are two white dishes and a blue bowl in front of them, but when Wilma joins them, the white dishes have disappeared. The white dish in front of Bamm-Bamm, and indeed Bamm-Bamm, also disappear when the boy scout serves Wilma breakfast.