Green’s Dictionary of Slang

iron duke n.

[rhy. sl. = fluke n.2 (1); the orig. Iron Duke was the Duke of Wellington (1769–1852)]

a lucky chance.

[UK]J. Franklyn Dict. of Rhy. Sl.
[UK]Partridge DSUE (8th edn) 601: late 19C–20.
[UK]R. Puxley Cockney Rabbit.