I played semi-pro rugby in Cali with former All Blacks (Haka!) and places around the world, but by no means an expert.
Here goes...
There are really two types of kicks in rugby/aussie rules that apply to American football: punts and drop kicks. Actually a third, but more on that in a moment.
Punts are the same as football. Drop ball and kick it before it hits the ground and watch it go far. Easy for most except Miami punters.
Drop kicks result in same as punts, but the ball is dropped to the ground where it bounces and then kicked. Think of the on-end ball bounce setting it up just like a field goal try/kickoff. Not easy for most, as much art as science, but if you get a hold of one, they can go some diatance, but less hang time as traditional punt (think angles of attack of your foot and ball direction of travel). Impossible for Miami punters, I mean come the f[]ck on.
The third I mentioned above is the grubber/chipper. Those have technically two different purposes in rugby/aussie rules. What they are applicable to (especially chipper) in football is the onside kick. The big exception is not using a tee. I think football kickoffs are required to use a tee (wrong/right?), so there is a key difference. In my opinion, a chipper has more of a chance to pop up into waiting arms of players than the wtf was that freak show you see 99% from a tee.
How kicks are used in rugby/aussie rules are similar but also very different than football. Topic for another day.
If Headley is even an average Rugby League/Aussie Rules as has been claimed, then Miami should have the overall most capable punter in the ACC next season.
He has to PROVE it.