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1.
When you squat down to give someone a hug. You hug them, whilst squatting.
I wanted to hug her, but she was sitting on the floor, so I gave her a quick squg and then I was on my way.
by misscastiel24 September 02, 2011
 
2.
A cross between a squish and a hug. Commonly known as a bear hug.
Friend: I'm not fat. ]: I'm just squishy.
Buddy: You're squishy like a plushie. <3 *squg*
by Mellicat January 02, 2008