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1.
Adjective for dreary and runny.
The drunny scum from sewers leaked into the lake.
by Zackel J August 11, 2008
 
2.
when you're feeling drunk and funny.

you're so wasted that you're slurring and while trying to tell people that you're drunk and funny, you say drunny.
"Hey guys, I'm so drunny right now."
by drinkitup May 27, 2007