The phrase originated from early silent films. Such films, particularly comedies, often climaxed in chase scenes. An inexpert screenwriter or director, unsure how to get to the climax, would just make an abrupt transition, known as a cut.

An earlier version of the phrase (recorded 1880-1940) was Cut to Hecuba. This refers to the practice of shortening matinée performances of Hamlet by cutting the long speeches before the reference to Hecuba in Act II, Scene ii.