Green’s Dictionary of Slang

wooden plank n.

[rhy. sl. = Yank n. (2)]

an American.

[UK]P. Manning ‘Sl.’ in Kray (1989) 63: Everyone knows the Americans are often referred to as Yanks, / But here in London town, my son, we call them wooden planks.
[UK]B. Kirkpatrick Wicked Cockney Rhy. Sl.