Green’s Dictionary of Slang

(US) a euph. for fuck! excl.

1955		B. Schulberg On the Waterfront (1964) 212: Aah, screw [...] If he wants to get his balls in a wringer, that’s his business.
1972		G.V. Higgins Friends of Eddie Coyle 41: Screw [...] We been friends for a long time.