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Wiktionary
running target

n. 1 a firearms target that is towed across a range as the shooter shoots 2 a goal that changes as effort is made to reach the goal 3 a standard of performance set by the first place competitor that lower placed competitors try to exceed

Wikipedia
Running Target

Running Target is a 1956 American Western film directed by Marvin R. Weinstein and written by Marvin R. Weinstein, Jack Couffer and Conrad L. Hall. The film stars Doris Dowling, Arthur Franz, Richard Reeves, Myron Healey and James Parnell. The film was released on November 1, 1956, by United Artists.

Usage examples of "running target".

Each claymore will leap toward the walking or running target before it explodes, and its blast is shaped to burrow inward.

Snow is the perfect background for a running target: they wouldn't miss.

Other than us four, I have only two men who can hit a running target.

A running target's a lot more vulnerable than somebody who chooses her own ground.