One Eye Up 

Keeping an eye open. Watching out. Being aware.

And "trust" is a word you seldom hear from us
Hustlers we don't sleep we rest one eye up

-Jay Z, "December 4th"

One Eye Up by mjsgdjkabskjfbj May 7, 2009

one eye up the chimney 

A person with eyes that look in different directions from each other.

Sometimes it happens after a person gets very intoxicated.

When Mandy sits down to watch TV she has one eye on the

TV and the other eye is up the chimney.

Simon got so pissed he's got one eye up the chimney.

one eye up the chimney by Dizzylizzy118 July 23, 2009