Green’s Dictionary of Slang

1. (mainly Aus./N.Z.) a beer glass holding 369ml (13fl oz).

1885		Bulletin (Sydney) 7 Mar. 14/2: An extra race could then be got up […], the prize to be called the Tanglefoot Cup, and the distance, run four miles; each rider being compelled to pull up and drink a long sleever every time he passes the judge’s box.
1899		Western Mail (Cardiff) 25 Mar. 6/5: At one of the bars he saw a drunken man with a ‘sleever’ half full of beer before him.
1901		Bulletin (Sydney) 28 Dec. 32/4: Striking a pub. on the border of the Great Farback and Nowhere, I unyoked, thinking that a ‘sleever’ would be welcome.
1907		Pontypool Free Press 31 May 7/7: Another Blaenavon Fracas. Who threw the sleever? [...] Complainant appeared in the witness box with a much bandaged face.
1912		Bulletin (Sydney) 12 Dec. 30/3: He called for a long one for himself. Taking the sleever in his left hand he tilted it thirstily, and the liquor fell down his throat with the sound like that of a tank falling overboard.
1941		Baker Popular Dict. Aus. Sl. 67: Sleever, a drink, esp. a large drink.
2024		J. Meades Empty Wigs (t/s) 727: A shoo-in, it was said down The Tap where a pun earns you another sleever of Craft.

2. (N.Z.) a drinking straw.

1941

Baker N.Z. Sl.