Green’s Dictionary of Slang

smart, fashionable.

1843		Satirist & Sporting Chron. (Sydney) 4 Mar. 3/4: Jim [...] was as ‘shaven and shorn’ [and] as Dickey as a Sucking Monkey.
1867		R. Whiteing Mr Sprouts, His Opinions 29: He pulls off a werry dickey sort o’ tile.
1890–1904		Farmer & Henley Sl. and Its Analogues.
1924		Lawrence & Skinner Boy in Bush 49: We’re plain people out here-aways, not [...] dickey-toffs, an’ we want no flash sparks round, see?