Green’s Dictionary of Slang

routine n.

[show business jargon routine, a carefully rehearsed act]
(US)

1. an evasive or contrived response.

[US]J.H. O’Hara Pal Joey 74: She gave me the routine about father & mother being in London.
[US]J. Stearn Sisters of the Night 11: One night he gave me the routine.
[US]Wentworth & Flexner DAS.
[US]J. Ellroy Brown’s Requiem 56: The ‘fourth man’ routine was just a dodge to beat the death penalty.

2. a fraudulent scheme, esp. as practised by confidence tricksters.

[US]B. Schulberg Harder They Fall (1971) 116: You know the routine.
[US]‘William Lee’ Junkie (1966) 125: The Black Bastard worked the crucifix routine.
[US]M. Braly Felony Tank (1962) 47: You know what? It’s all a big routine.
[UK]A-Team Storybook 34: Don’t try that mosquito routine, sucker!

In phrases

put down a routine (v.) [SE put down + show business routine, a regularly performed sketch, song, dance etc.]

(US) to hoax or otherwise persuade someone with a clever story.

[US]‘William Lee’ Junkie (1966) 159: Put Down a Hype or Routine . . . To give someone a story, to persuade, or con someone.