Green’s Dictionary of Slang

(S.Afr.) a cigarette butt, a partially smoked cigarette, esp. one stubbed out and kept for relighting later; thus a worthless remnant.

1949		H.C. Bosman Cold Stone Jug (1981) II 24: It’s all right if you can get a bit, now and again. And a dagga-stompie sometime.
1959		J.M. Meiring Candle in the Wind 32: She pulled a stompie out of her pocket and lighted it.
1969		A. Fugard Boesman and Lena Act II: He threw me the stompie.
1975		S. Roberts Outside Life’s Feast 27: The stink of stale brandy and piss and old stompies will not let me breathe.
1982		B. Simon et al. Cold Stone Jug: The Play 14: Anybody got a cigarette? [...] Anybody got a stompie? I’m not proud.
1990		P. Hotz Muzukuru 17: Me and my buddies had spent the day smoking stompies.
2004		L. Collen Rape of Sita 113: [He] was straightening out his back, and also straightening out a cigarette stompie he had picked up.