Green’s Dictionary of Slang

(Aus.) to commence an action, esp. aggressive.

1992		M. Coleman Fatty 84: ‘I said, ‘Hi,’ and she just reeled off and gave me an absolute gobfull’.
1992		M. Coleman Fatty 159: ‘One time we were at some bar and he said something to this girl as she walked past and she just reeled off and belted him in the mouth.