Originally a nautical term. When a sailing ship faced danger and needed to depart quickly, the rigging and anchor would be cut and the ship would run with the wind. More recently it has come to mean desert, retreat, or run away.
"When we were all out in the raw air and were steadily moving towards our business, I treasonably whispered to Joe, 'I hope, Joe, we shan't find them.' and Joe whispered to me, 'I'd give a shilling if they had cut and run, Pip."
Charles Dickens in Great Expectations

"The United States doesn't cut and run. When we make a commitment, we keep our commitments" President G.W. Bush (March, 2006)
by David Charbonneau March 18, 2006
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(verb phrase) to expel intestinal gas ("cut one") and then leave before discovery
Bush43: if we cut and run them terrists win
Colbert: Smells like "Mission Accomplished", Sir!
by campylobacter! February 10, 2007
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To leave without debate or facing the issue.
Person 1 : "You think you're a celebrity because of your notoriety as a complete tard"
Tard : "I be stars, man."
Person 2 : "Nice Cut & Run. You just proved you are indeed a moron. Even the army of Tardistan wouldn't let you enlist."

by NonTard May 10, 2007
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verb phrase To expel intestinal gas ("cut a fart"), then leave before you are discovered.
Dubya43: if we cut & run teh terrists winz
colbear: Smells like "MISSION ACCOMPLISHED"!
by campylobacter February 1, 2007
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