give your eye teeth for something/to do something
give (one's) eyeteeth for (something)
To go to any length or relinquish anything of value in order to obtain some specific thing in return. Almost always used after the modal verb "would." Oh, I would give my eyeteeth for curly hair like yours. She said she'd give her eyeteeth for a chance to meet the singer in person.
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
give your eye ˈteeth for something/to do something(informal) (usually used with would) give anything for something; want something very much: I’d give my eye teeth to own a car like that. ♢ He’d give his eye teeth for a job in television.
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