Green’s Dictionary of Slang

kick on v.

1. (Aus.) to struggle on despite the negative odds.

[Aus]L. Glassop Lucky Palmer 70: I’ll come good. I’ll kick on with this O.K.
[Aus]R. Aven-Bray Ridgey-Didge Oz Jack Lang 15: Upon hitting the bitumen he took stock of what he had left in his willy. He decided he had enough pap to kick on.
[Aus]M.B. ‘Chopper’ Read How to Shoot Friends 124: She’s just a sharp chick looking to kick on in her chosen field.
[NZ] McGill Reed Dict. of N.Z. Sl.

2. to prosper, to succeed.

[Aus]B. Ellem Doing Time app. C 218: I kicked on because they knew me, but you get some poor kid who doesn’t kick on. They used to take his clothes off him, bash him, fuck him.
[Aus]R.G. Barrett Real Thing 116: Hey, not a bad car you’ve got, Les. Shit, you’ve kicked on.
[Aus]P. Doyle (con. late 1950s) Amaze Your Friends (2019) 86: For us to kick on again Max would need to get his book of magic tricks together.

3. (Aus.) to continue drinking or enjoying oneself.

[Aus]R. Beckett Dinkum Aussie Dict. 32: Kick on: To continue drinking after someone has ‘found the necessary’ or ‘got the readies’, meaning that one in the party has found enough money to buy the next round of drinks.
[Aus]R.G. Barrett Mud Crab Boogie (2013) [ebook] Les was in a pretty good mood and felt like kicking on a bit.
[Aus](con. 1945–6) P. Doyle Devil’s Jump (2008) 201: Why don’t we have a whip round and get ourselves a bottle or two of scotch and kick on at my flat after?

4. (Aus.) to tolerate, to get along with.

T. Anderson Boobtalk 8: to kick on. To go along with [DAUS].

5. of an individual, to enjoy oneself; of a place, to liven up.

[Aus]R.G. Barrett White Shoes 52: We’ll go downstairs and rage it off. It starts to kick on about now.
[Aus]S. Maloney Big Ask 40: All six were in their mid-twenties, well oiled and kicking on.