Green’s Dictionary of Slang

(US) the penis.

1964		H. Selby Jr Last Exit to Brooklyn 30: You dont want that big sazeech gettin in yaway Georgie boy. Let me cut it off.
1974		(con. 1960s) R. Price Wanderers 197: ‘He’ll play your ass off any day, man.’ [...] ‘Big fuckin' deal. If I was playin’ as long as him I’d be giggin’ the duke every week.’ ‘You’d be giggin' my sazeech every week,’ Richie said.