have (got) an/(one's) eye on (someone or something)
1. To watch or look at someone or something closely; to monitor someone or something continuously. I always have my eye on the clock at the end of the day, counting down the minutes until I can go home. Make sure you've got an eye on that pot or it might boil over on you! Don't worry, I've got my eye on the kids.
2. To be keenly interested in acquiring, achieving, or recruiting someone or something. After a successful career as a state governor, Ms. Jones now has an eye on the presidency. Now that my bonus came in, I've got my eye on the newest model of Corvette. We've had our eye on Tom to take over as the regional manager.
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