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1.
The awkward fumbling after greeting who is usually a distant relative. Neither party is sure whether to hug or shake hands, and so the dance begins, wherein both parties seem to do a sped-up version of the robot, first extending an open hand, then switching to open arms, with the other party doing the opposite.
Usually, this occurs with an in-law, but in some cases a drunkle is involved.
This always results in awkwardness, embarrassment, and comedy.
Mack: Did you see my hugshake with Mel?
Jake: Oh fuck, that was more awkward than Sarah Palin trying to answer a question about foreign policy.
Mack: ...so you're trying topical humour, eh? Palin, really?
Jake: Piss off, Mack.
by Timbo_Slice October 22, 2008
 
2.
the awkward phenomenon that occurs when saying bye to your friends' friend who you just met and not knowing whether to go in for the hug too or just the handshake.
After meeting/saying good bye to Mary, I went to give her a hug, she went for a handshake. We successfully completed a hug-shake.
by mntwins07 July 24, 2011