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1.
A declaration, often exaggerated, joking and boastful, of being better than another person, the aforementioned often being a celebrity or historical figure.
"Mozart, eat your heart out!" said the organ player after a successful concert.
by JackieH March 26, 2007
 
2.
eart your heart out directly translates to: screw you, bitch. You hurt me more than anyone could.
Person A: I think you are a horrible person and I can't believe what you did.

Person B: Eat your heart out whore!
by howcouldyou May 11, 2009