Three ring circus is a show with three performances going on all at once.(noun)
An example of a three ring circus is a performance put on by Ringling Brothers and Barnum & Bailey.
Three ring circus is a situation of extreme chaos or confusion, or a situation that is out of control.(noun)
An example of a three ring circus is when 20 dinner guests all show up unexpectedly on the wrong night at the same time your roof begins to leak and your dog steals your dinner.
See three-ring circus in Webster's New World College Dictionary
See three-ring circus in American Heritage Dictionary 4
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