Possible Clues:

• Talking rabbit, say
• Any Pixar character
• Marvin the Martian or Mickey Mouse, for short
• Daffy or Goofy, e.g
• Saturday morning TV character
• Loony follower
• Funny film shortened — would be, too, if the ending was cut
• Yogi Bear or Fred Flintstone
• Mickey Mouse or Scooby-Doo
• Blue rabbit, quite possibly