Green’s Dictionary of Slang

to sponge on one’s acquaintances, to cadge, usu. drinks or money.

1864, 1867, 1870		Hotten Sl. Dict.
1875		T. Frost Circus Life and Circus Celebrities 280: ‘Prossing’ is a delicate mode of indicating a desire for anything.
1886		H. Goldsmid Dottings of a Dosser 105: He’d go to the pub and try to pross for a bloomin’ pint.
1899		A. Binstead Houndsditch Day by Day 136: The outside chance of their reaching Tagg’s Hotel [...] in time to pross on some laggard pal for a ‘sip o’ Ramsgate’.
1929		(con. c.1910) J.B. Booth London Town 306: Bill wouldn’t ha’ prossed for ’is beer-money; he’d ha’ won it off you.