Green’s Dictionary of Slang

catharpin fashion n.

also cat harping fashion
[? Gk kata, across + pinein, to drink; or naut. jargon cat-harpings, ‘the ropes or (now more generally) iron cramps that serve to brace in the shrouds of the lower-masts behind their respective yards, so as to tighten the shrouds and also give more room to draw the yards in when the ship is close-hauled’ (OED)]

the passing of a shared bottle round a group the wrong way, when drinking: see cit. c.1698.

[UK]B.E. Dict. Canting Crew n.p.: Catharpin Fashion, when People in Company Drink cross, and not round about from the Right to the Left according to the Sun’s motion.
[UK]New Canting Dict.
[UK]Bailey Universal Etym. Eng. Dict.
[UK]Grose Classical Dict. of the Vulgar Tongue n.p.: Cat harping fashion, drinking cross-ways, and not, as usual, over the left thumb. (Sea term.).
[UK]Lex. Balatronicum.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.