An eye affected by strabismus. / (engineering) The socket in the ball of a millstone, which sits on the cockhead.

plural of cockeye

Having both eyes oriented inward, cross-eyed. / Crooked or askew. / (informal) Absurd, silly, or stupid; usually used in reference to ideas rather than people. / Drunk.

In a cockeyed manner.

The quality of being cockeyed.