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1.
A man's genetalia, or penis.
Hey babe, want to play with my stuggy?
by RyanBlack April 24, 2007
 
2.
The simultaneous acts of snuggling with someone while each person is studying. A combination of the words and concepts "snuggle" and "study"
We're both so busy with class right now, the only time we get to hang out is when we stuggy.
by Derpstar October 21, 2012