Green’s Dictionary of Slang

1. the penis.

1730		‘Gee Ho, Dobin’ in Farmer Merry Songs and Ballads (1897) II 204: Then Roger’s Pump handle ran the Devil knows where.
1759–67		Sterne Tristram Shandy (1949) 338: Are not trouse, and placket-holes, and pump-handles – and spigots and faucets, in danger still, from the same association?
1790		‘Bumper Allnight. Esquire’ Honest Fellow [as 1730].
1972		B. Rodgers Queens’ Vernacular.
1980		Maledicta IV:2 (Winter) 194: The engineer [is represented] with his derrick, screwdriver, rogering iron, piston and pumphandle.

2. a long nose.

1854

Delhi Sketch Bk 1 Jan. 21/1: Probiscis Vulgaris, or Common Pump-handle. A long projecting nose.

3. a vigorous handshake.

1855		Londonderry Standard 18 Oct. 4/2: Of the varied expressions that characterise the act of shaking hands [...] the pump-handle shake first deserves notice.
1864		Burnley Gaz. 30 Apr. 4/3: The shake [...] already described as the ‘pump handle’.
1933		C. Drew ‘Gorilla Grogan’ in Bulletin (Sydney) 26 July 40/2: ‘Saved!’ he says, grabbin’ me by the mitt and shakin’ it like a pump-handle.

4. the hand.

1911

S. Ford Torchy 44: Dicky lets out a roar, [...] works the pump handle, and talks a blue streak.

5. (Aus.) an arm.

1919		W.H. Downing Digger Dialects 39: pump-handle — Arm.
1924		(con. WWI) A.G. Pretty Gloss. Sl. [...] in the A.I.F. 1921–1924 (rev. t/s) n.p.: pump handle. Arm.