Green’s Dictionary of Slang

(Aus.) to check in, to register.

1991		R.G. Barrett Between the Devlin 121: ‘You’ve got a lot of cleaning up to do before you bundy on at the pickle factory’.
2000		R.G. Barrett Leaving Bondi (2013) [ebook] ‘I can punch the bundy at Waverley Police Station on the way up. Stay the night. And be back in time to bundy on again Thursday’.
2012		(con. 1943) G.S. Manson Irish Fandango [ebook] The office workers had all bundied on by now.