Green’s Dictionary of Slang

1. (Aus.) the air.

1955

Argus (Melbourne) 5 Feb. 3/2: Hutte goes for the bash and with a mighty swipe up into the Dick Fair [...] for a Dorothy Dix.

2. (Aus.) the hair.

1983

J. Byrell (con. 1959) Up the Cross 11: Get your dick fair cut.