Green’s Dictionary of Slang

(N.Z.) a very thin hand-rolled cigarette.

1970		D. Davin Not Here Not Now 107: On a chair was a tin full of sallow cigarette butts, rolled thin. Supplies must be running low if he was rolling himself greyhounds [DNZE].
1988		McGill Dict. of Kiwi Sl.
1990		Tupper & Wortley Aus. Prison Sl. Gloss. 🌐 Greyhound. A very thin hand rolled cigarette thus prepared to extend the tobacco supply.
2003		McGill Reed Dict. of N.Z. Sl. [as cit. 1988].