This little character study has long been one of my favorite TAGS episodes. There's a nice blend of the serious and the comic, and the acting from all concerned is first-rate. The sexual tension between the character played by Jean Hagen (Lina Lamont from SINGIN' IN THE RAIN) and Andy is most interesting, and is of a more subtle kind than we find in "The Manicurist" or "Prisoner of Love." I found myself wondering whether the two of them were playing a flirtatious game the whole time.
One of the previous reviewers described the actions of the townsfolk as uncharacteristic. Well, given these gentlemen's susceptibility elsewhere to the fair sex (witness "The Manicurist"), I'd say their behavior was perfectly credible. And as for Floyd and Barney turning against Andy - well, the speeding ticket IS rather trivial, after all. On the other hand, Andy IS the upholder of the law, and his concern over the speeding issue is tied to his concern for the safety of Mayberry's citizens - in contrast to Barney, who would haul someone into jail for a trivial infraction merely out of a need to lord it over someone.
I disagree with the reviewer who said that TAGS isn't a show for "deep philosophical thought" and urged us to "turn off your mind and enjoy." Not only is TAGS capable of being profound when it wants to be (especially compared with other comic offerings of the '60's) but this episode is a prime example of it. There is much here about the open road, about men and women and the "eternal chase," and (as mentioned) about willfulness, wiles, and manipulation. A real character study, in other words.
Besides all of which, I'm surprised no one has mentioned the classic bit in which Hagen, while in jail, attempts to sweet-talk Barney by saying he reminds her of Frank Sinatra. And the concluding segment, in which Barney actually imitates Ol' Blue Eyes. Speaking for myself, Barney always looked more like Fred Astaire, but that's a discussion for another day.