Green’s Dictionary of Slang

a purse, a pocket-book (cf. die n.² ).

1839		H. Brandon Dict. of the Flash or Cant Lang. 162/2: Dee – a pocket-book.
1847		G.W.M. Reynolds Mysteries of London III 85/1: Three wedge-feeders, a yack, and a dee .
1859, 1860		Hotten Dict. of Modern Sl. etc.
1873		Sl. Dict.
1882		Sydney Sl. Dict. (2 edn) 3: Dee - A pocket-book.