Green’s Dictionary of Slang

bucket and pail n.

also lard and pail, mop and pail
[rhy. sl. = jail]

prison.

[US]A.J. Pollock Und. Speaks n.p.: Lard and pail, a jail; Mop and pail, a jail.
[UK]G. Kersh Fowlers End (2001) 60: I mean inside—bucket-and-pail.
[UK]J. Franklyn Dict. Rhy. Sl. (2nd edn).
[UK]R. Walton ‘Cockney Jack’ [Internet] ‘Well,’ said the spinning top, ‘It’s the bucket and pail for you, babbling brook.’.
D. Shaw ‘Dead Beard’ at www.asstr.org [Internet] Tell him that every weekend at visiting time, do you, Dionne? At least it’s convenient for the bucket and pail here. Only one sea, one ocean and a few counties to go – call a sherbert dab, do you?