Green’s Dictionary of Slang

teatree n.

also ti-tree
[SE tea-tree, the manuka or kanuka tree]

(N.Z.) the countryside, a remote area; usu. as away in/up in the tea-tree.

[NZ]N.Z. Observer 5 Mar. 4: The present writer was asked [...] to go and see the hot water away in the ti-tree somewhere [DNZE].
[Aus]G.W. Turner Eng. Lang. in Aus. and N.Z. 122: I know the word [i.e. woop-woops] but think of it as wook wooks [...], the sticks, the tea tree and the cactus, some semantic differentiation is not impossible.
[NZ] McGill Reed Dict. of N.Z. Sl.