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1.
Cowboy talk for going somewhere or walking over to something.
"Let's mozy on over to the mall and mack on some fes!"
by Sly Magoo October 01, 2003
 
2.
only the greatest of words, used by the smartest, sexiest, strongest, and all around greatest men in the world
this rager is getting old bro, lets mozy out of here
by livetolax69 July 09, 2010