That happened in the reign of queen Dick, i.e. never: said of any absurd old story. I am as queer as Dick’s hatband; that is, out of spirits, or don’t know what ails me.
Definition taken from The 1811 Dictionary of the Vulgar Tongue, originally by Francis Grose.
Dice * DickyNathan Bailey's 1736 Dictionary of canting and thieving slang
John S. Farmer's collection of canting songs and slang rhymes