Green’s Dictionary of Slang

toothpicker n.

[crutch-and-toothpick brigade under crutch n.1 ]

a fashionable man about town and/or a man who hangs around theatre stage doors (to meet female performers), with a uniform of crutch-handled walking-stick and a toothpick.

[UK] ‘’Arry at the Gaiety’ in Punch 5 July 309/1: Give me Croysett, / As I think you would say is a stunner, though Sarah’s the Toothpickers’ pet.