Green’s Dictionary of Slang

la-di-da(h) n.2

also la-de-da, lah-di-dah
[rhy. sl.]

1. a car, a tram car.

[US](con. 1910–20s) D. Mackenzie Hell’s Kitchen 119: La-de-da ... car, motor-car, tram.
[UK]J. Franklyn Dict. of Rhy. Sl.
[UK]J. Jones Rhy. Cockney Sl.
[UK]B. Kirkpatrick Wicked Cockney Rhy. Sl.

2. a trolley car.

[UK]S.T. Kendall Up the Frog 20: There was everythink in it – a Cain ’n’ Abel [...] a la-di-da over on one side wiv all the tumble-dahn the sink you could think of.

3. (also lardy) a cigar.

[UK]D. Powis Signs of Crime 191: Lah-di-dah Cigar (sometimes just ‘lardy’).
[UK]B. Kirkpatrick Wicked Cockney Rhy. Sl.