Tree House of Horror III: The Simpson's Halloween Special III - S4-E5
Audio problem: When Lisa is turned into a snail in the Bart's zombie story, she says "awww" but her mouth doesn't open. (00:20:25)
Tree House of Horror III: The Simpson's Halloween Special III - S4-E5
Audio problem: In King Homer, after Burns and the guards on the island rush through the doors, you hear Burns say "Shoot him in the groin and belly!" But his mouth doesn't move. (00:10:30)
Tree House of Horror III: The Simpson's Halloween Special III - S4-E5
Audio problem: In "Clown Without Pity" when Homer yells "The doll is trying to kill me, and the toaster's been laughing at me!" his mouth doesn't move. (00:06:45)
Tree House of Horror III: The Simpson's Halloween Special III - S4-E5
Audio problem: In "Clown Without Pity" when Homer is singing in the bath, his mouth doesn't match what he is singing. (00:05:20)
Answer: I'm not sure if this is the one you're thinking of, but an episode of "Ray Bradbury Theatre," called "A Sound of Thunder," dealt with a similar matter: a group of hunters travel back in time to hunt dinosaurs, only to find things have changed when they get back because someone stepped on a butterfly.
Xofer