Green’s Dictionary of Slang

suck n.1

[SE suck, a small measure or glass of liquid]

(UK Und.) wine or strong drink.

[Ire]Head Nugae Venales 28: A Farmer being Consumptive, came with his Wife to a Doctor, who advised him to drink Asses milk [...] saying moreover, that if he could not get it the Farmer should come to him; why Husband, said the Wife, doth the Doctor give suck?
[UK]B.E. Dict. Canting Crew n.p.: Suck, Wine or strong Drink. This is rum Suck, it is excellent Tipple.
[UK] ‘Tom Tinker’ in Farmer Merry Songs and Ballads (1897) I 172: She call’d in the Tinker and gave him a spell; / With Pig, Goose and Capon, and a good store of suck.
[UK]New Canting Dict. [as cit. c.1698].
[UK]Bailey Universal Etym. Eng. Dict. [as cit. c.1698].
[UK]Canting Academy, or the Pedlar’s-French Dict. 111: Good Drink, Rum Bues or Suck.
[UK]J. Poulter Discoveries (1774) 43: Tip us rum Suck; give us good Beer.
[UK]G. Parker View of Society II 107: He had put a whole bottle of rum into the tea-kettle; from which she poured out a quantity [...] and continued pouring and tasting alternately, until she had completely napt the suck.
[UK]Grose Classical Dict. of the Vulgar Tongue.
[US] ‘Flash Lang.’ in Confessions of Thomas Mount 19: Rum, suck.
[US]H. Tufts Autobiog. (1930) 292: Suck signifies rum.
[UK]Lex. Balatronicum.
[UK]Sussex Advertiser 14 Apr. 4/3: Such as were not provident enough to bring their ‘bub and grub’ [...] found it difficult enouigh to get ‘the suck’’.
[UK]‘Bill Bounce’ in Convivialist in Spedding & Watt (eds) Bawdy Songbooks (2011) IV 27: At concert-room he’d drunk your suck, / Bill Bounce, the swell cove out o’ luck!
[UK]Flash Mirror 19: [He] cautions the public against taking their suck of bandy-leg’d Cockman Joe as he has tipt N. Nickem turnips, and gone to live at the Duck and Salt Box.
[US]W.T. Porter Quarter Race in Kentucky and Other Sketches 118: He therefore proposes to run them three hundred yards, for ‘sucks all round’.
[US]Matsell Vocabulum.

In compounds

suck casa (n.) (also suck-cassa, suck-casse) [casa n.1 ]

a public house, a tavern.

[UK]Hotten Dict. of Modern Sl. etc. 10: suck-casse, a public house. [Ibid.] 105: SUCK-CASSA, a public-house.
[UK]Hotten Sl. Dict.
[UK]Farmer & Henley Sl. and Its Analogues.
[Scot]Eve. Tel. (Dundee) 1 Sept. 3/6: The language of the London East-end pub [...] ‘Boozing ken,’ a ‘Sluicery,’ a ‘suckcassa’ — A fully licensed house.