A minor argument between Barney and Gomer over a traffic ticket erupts into an all-out feud that leads to reckless driving, staged burglaries, and eventually Barney's resignation from the force. Can Andy get the two friends to make up before things really get out of hand?

The day of the town picnic, Barney watches as Andy and Helen go wandering into a cave just before the entrance collapses. He quickly rallies the town to their rescue, not realizing Andy and Helen have already found a way out.

Aunt Bee's friend Mr. Frisby tells her his house is about to be demolished to make way for a new highway. She decides to help her friend and campaigns to halt the county's plans, despite the fact that Andy is the one who must serve the eviction.

Barney buys an antique motorcycle in order to set a speed trap for speeding truckers on Highway 6. After Barney makes a complete nuisance of himself to all of Mayberry, Andy realizes that the answer may be to make the motorcycle more valuable to the town than to Barney.