Dandy receives a handwritten letter from "A Rare Alien" after arbitrarily disbanding the crew following an argument over which song an alien was playing on his guitar. Thinking the sender is a beautiful alien chick, he takes the Little Aloha to investigate, and flies all the way to a planet surrounded by a "River of Time" according to a talking llama on the surface.
QT and Meow follow Dandy to the planet in the Aloha Oe when they find out he won the "Mr. Misunderstanding Grand Prix" contest they entered him in on a whim, but need him to claim the prize in person. However, they are soon turned into smiling statues by the Ukuleleman on the planet.
When Dandy tries to meet the "rare alien" he finds the Ukuleleman by himself in a house, and bored, decides to slip out the back door. However, he finds himself in a garden of smiling statues, including his two friends. While the Ukuleleman chases him down, Dandy carries his two friends back to the Aloha Oe with a plan to dip them into the River of Time and change them back before they were transformed into statues.
In space, Dr. Gel tries to pursue Dandy but is knocked into the River of Time by a large submarine shortly before meeting his own mother. The Ukeleleman tries to use the River of Time to pull out a smiling version of Dandy while eliminating the present version, but the current Dandy punches the Ukeleleman, shattering his mask. As the Ukeleleman is consumed by flames, he laments that a smile wouldn't look good on him, but Dandy tells him that he's smiling right then, shortly before acquiring his ukelele.
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