Pebbles und Bam-Bam werden über Nacht zu weltberühmten Popstars der Steinzeit. Eigentlich kaum zu glauben, wenn man bedenkt, dass die beiden noch im Babyalter sind.
Pebbles and Bamm-Bamm develop remarkable musical talent, which is exploited by teen impresario Eppy Brianstone. Soon the tots have no time to their fathers, which prompt Fred and Barney to kidnap them. After a frightening police chase, Fred awakens and realizes the whole episode has been a dream.
Fred is tired of so many teen stars on television after a football game does not come on. Then he dreams that Pebbles and Bamm Bamm become singing stars, causing more havoc. Fred wakes up to see the babies back to normal. Bernard Fox guest stars as "Eppy Brianstone" (a topical reference to The Beatles' manager, Brian Epstein). Notes: The animation color and look changes for this final season. The music is different in this season. Pebbles gets a new green colored shirt and diaper. At the time, Hanna-Barbera Records released a 45 single of "Pebbles & Bamm Bamm"'s recording of "Open up Your Heart (and Let the Sunshine in)", which would go on to replace "Meet the Flintstones" as the show's closer for a few episodes this final season. The teaser is a scene from the middle of the episode.