Green’s Dictionary of Slang

1. a house.

1857		‘Ducange Anglicus’ Vulgar Tongue.
1864, 1867, 1870		Hotten Sl. Dict.
1894		Pall Mall Gaz. 4 July 3/2: Other examples of [...] the simple form of rhyming slang are ‘cat and mouse’ (house).
1935		A.J. Pollock Und. Speaks.
1960		J. Franklyn Dict. of Rhy. Sl.
1969		S.T. Kendall Up the Frog.
1979		R. Barker Fletcher’s Book of Rhy. Sl. 26: The man set off back towards his cat and mouse.
2002		B. Kirkpatrick Wicked Cockney Rhy. Sl.

2. housekeeping.

1881

Trumble Sl. Dict. (1890) 10: Cat and Mouse. Housekeeping.