Green’s Dictionary of Slang

great adj.1

(Irish) close, very friendly; thus great with, close to, esp. of lovers.

[UK]Pepys Diary 6 Jan. n.p.: Lady Castlemaine [...] says that the Duchess of York and the Duke of York are mighty great with her.
[UK]Defoe Roxana (1982) 332: They’d talked of a young Lord that was very great with her.
[UK]C. Johnson Hist. of Highwaymen &c 308: These Furies got a poor Woman among them, whom one of them suspected of having been great with her Husband.
[UK]G. Colman Jealous Wife I i: Did I not discover that you were great with Mademoiselle, my own woman?
[UK]Northampton Mercury 21 Jan. 1/3: On her asking why he had murdered the young woman, he answered, ‘because I wanted to be great with her, and she resisted him’.
[Ire]Pierce Egan’s Life in London 28 Aug. 243/2: [Irish speaker] ‘Molly, you were great with my brother afore you got the Omathaun that’s your husband now’.
[Aus]G. Seagram Bushmen All 246: He’ll scent a black-fellow as far as any other prad ’ull smell a camel. He’s great on niggers, is Black Arrow.
[Ire]Joyce ‘The Dead’ Dubliners (1956) 217: ‘I suppose you were in love with this Michael Furey, Gretta,’ he said. ‘I was great with him at that time,’ she said.
[Ire]J. O’Donoghue In Kerry Long Ago 44: Johnnie O’Sullivan Corrig was to make music with a melodeon, borrowed from Kate Norrie, a girl he was great with at the time.
E. Lenihan Long Ago by Shannon Side 18: Both of them were in love with the same girl, an’ neither Conn knew that Finn was great with her, or Finn didn’t know that Conn was great with her.
[UK]W. Love Times of our Lives 57: He and the cashier were very great, so he was able to walk behind the bank counter.
[Ire]O’Reilly & Sixth Class Over the Half Door n.p.: She was a hard ould divil. She was great with some crowd down in Carbury [BS].

In phrases