Green’s Dictionary of Slang

tab n.6

In phrases

ain’t coming (on that tab)

(US black) a phr. rejecting another person’s suggestion.

[US]Pittsburgh Courier (PA) 29 Oct. 11/1: Harlem Dictionary [...] I Ain’t Coming. Won’t accept the proposition.
[US]Cab Calloway New Hepsters Dict. in Calloway (1976) 252: ain’t coming on that tab (v.): won’t accept the proposition. Usually abbr. to ‘I ain’t coming.’.
[US]Mezzrow & Wolfe Really the Blues 24: I know you’re Capone’s old lady – uh, uh, I ain’t coming on this tab.