thrill of the hunt

cheap thrill

Something simple and inexpensive done for pleasure.

dog in the hunt

Something that may lead to gain, depending on the outcome; a position for which to campaign or cheer.

hunt where the ducks are

To seek opportunities or results in situations or places where they are most likely to be found.

run with the hare and hunt with the hounds

To support both sides of an argument.

snipe hunt

A prank in which a gullible victim is sent off on a fruitless search for a nonexistent item.

thrill kill

An act of murder motivated solely by the murderer's desire to have a very exciting experience.

thrill killer

A murderer who is motivated by a strong personal desire to have a very exciting experience.