Green’s Dictionary of Slang

jack an’ danny n.

also jacky danny

1. the vagina [rhy. sl. = fanny n.1 (1)].

[UK]Roger’s Profanisaurus in Viz 98 Oct. 18: Jacky Danny rhym. slang James Hunt (qv).
D. Shaw ‘Dead Beard’ at www.asstr.org 🌐 My better half has Dionne kneeling down on her hands and knees with her jack and danny sticking up on offer.
[UK]B. Dark Dirty Cockney Rhy. Sl.

2. nonsense, time-wasting, prevarication [rhy. sl. = fanny n.2 ].

[UK]J.J. Connolly Layer Cake 16: A straight question needs a straight answer, no Jack and danny, are you willing to come on board as a partner?