Green’s Dictionary of Slang

to masturbate.

1965		Guild Dict. Homosexual Terms 21: hand-gig (or hand-job) [...] (v.): To masturbate another.
1969		M. Girodias New Olympia Reader 64: Juveniles swagger and brag Molly hand-jobbed twenty of them [HDAS].
1981		S. King Roadwork in Bachman Books (1995) 458: I can’t fuck you over the telephone. I can’t even hand-job you.
1998		A. Warner Sopranos 133: ‘Sometimes she’s a bit tartishly bimboic.’ ‘Like the time with Ian Dickinson, hand jobbing him during the [...] dance’.