v. to tease (someone) by offering something desirable but keeping it out of reach
v. to bait (someone) by showing something desirable but leaving them unsatisfied
the GNU version of the Collaborative International Dictionary of English
v. To tease or torment by presenting some good to the view and exciting desire, but continually frustrating the expectations by keeping that good out of reach; to tease; to torment.
The Century Dictionary and Cyclopedia
To tease or torment by presenting something desirable to the view, and frustrating expectation by keeping it out of reach; excite expectations or hopes or fears in (a person) which will not be realized; tease; torment; vex. Also spelled tantalise.
WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
v. harass with persistent criticism or carping
Word Usage
"Many words come from Greek roots, but the roots for "tantalize" run all the way to Greek myth about a misbehaving son of Zeus named Tantalus."