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1.
a mispronunciation of the name of the band Xiu Xiu
"What are you doing tonight, man?"

"Oh, I gotta take my sister and her dumb emo friends here tonight to see Shwee Shwee!"
by Homonculus May 06, 2009
 
2.
When you are waiting to pee and there is someone in the bathroom and you have to go outside and then when you get back in the person is out.
"I HAVE TO GO SHWEE SHWEE"
by Bobthebuildercanwedoit October 26, 2011