The Landshark was Chevy Chase's only character during his tenure on SNL. The premise was simple: the shark would knock on the door of a single woman's apartment, and would claim to deliver something (often a candygram). Eventually, after several fails, the victim would be convinced enough to open the door, only for the shark head to emerge forward and eat his prey.
The Landshark was the star of his first two sketches in the Candace Bergen and Lilly Tomlin episodes respectively. Each attack was bookended by a reaction from Sheriff Brady (Dan Aykroyd) and Matt Cooper (John Belushi). The Landshark would afterwards appear as cameos in subsequent sketches, including a Halloween cold opening, a sketch about Charles Lindburgh, and on Weekend Update where he eats Tina Fey.