Green’s Dictionary of Slang

a bit, a piece.

1859, 1860		Hotten Dict. of Modern Sl. etc.
1861		(con. 1840s–50s) H. Mayhew London Labour and London Poor I 41/1: A request for a ‘yennep’ to get a ‘tib od occabot.’.
1870		Hotten Sl. Dict.
1873		Sl. Dict.
1882		Sydney Sl. Dict. (2 edn) 11: Tib - A bit, or piece.
1887		J.W. Horsley Jottings from Jail 4: Sap he a top o’ reeb and a tib of occabot.