tantalize (v.)

"to tease or torment by presenting something desirable to the view, and frustrating expectation by keeping it out of reach," 1590s, with -ize + Latin Tantalus, from Greek Tantalos, name of a mythical king of Phrygia in Asia Minor, son of Zeus, father of Pelops and Niobe, famous for his riches, punished in the afterlife (for an offense variously given) by being made to stand in a river up to his chin, under branches laden with fruit, all of which withdrew from his reach whenever he tried to eat or drink. His story was known to Chaucer (c. 1369). Related: Tantalized; tantalizing; tantalizingly; tantalization.