Green’s Dictionary of Slang

tassie n.

[? var. on tash n. (1)]

(Aus.) a toothbrush moustache.

[Aus]Advocate (Burnie, Tas.) 5 June 7/2: Browney’ll be growing a ziff next. What’s it going to be – a tassy or a pongo? [...] ‘tassy,’ toothbrush moustache; ‘pongo,’ flowing moustache.