droggy Share definition Flag A combination of groggy and drowsy. When you're really tired and disoriented. Comes especially after taking night time pain killers. 'Wow, dude, I'm really droggy this morning, I think I took too many night time sinus pills' droggy by KristinL June 1, 2006 0 0 Get merch Get the droggy mug. Buy Now — $32.95 See more merch