Some people play a game called "greenies" which is for par-3 holes. The person closest in regulation gets a greenie, but of course must two putt or better to validate.
A variation of the greenies game is called Oozies and Foozies.
An Oozie is essentially a greenie as mentioned above. The player nearest the hole in regulation must two putt or better to get an Oozie, which may be worth a dollar amount or some other betting currency like a frosty post round beverage.
A Foozie happens when the players who is closest in regulation fails to two putt or better. This is worth minus one betting unit.
If all the players fail to hit the green, there is a carryover to the next par-3 and that one is worth two Oozies or Foozies.
At the end of the round the players total up their Oozies and Foozies and settle up.