Calippus was a tyrant of Syracuse who ruled briefly for thirteen months Smith, Dictionary of Greek and Roman Biography and Mythology, p. 574 from 354 to 352 BC. He was a native Athenian, who traveled with Dion to Sicily to capture Syracuse, where Dion became the tyrant. Calippus then gained power by assassinating Dion, but only ruled for thirteen months before being ousted from power himself.

Calippus is a small lunar crater that is located on the eastern edge of the rugged Montes Caucasus mountain range in the northern part of the Moon. It lies to the southwest of the Alexander crater remnant, to the northwest of the Mare Serenitatis.