have one's eye on

present singular third person has one's eye on · participle present having one's eye on · participle past had one's eye on · past had one's eye on

1. Used other than figuratively or idiomatically: see have, one's, eye, on.

   Synonyms: have designs on

2. To watch.

   I have my eye on you, so you'd better not cause any trouble.

   Synonyms: keep an eye on

3. To seek, to pursue.

   She now wants to be a Paris MP. But Fillon wants the same Paris seat when he steps down, after next year's election. Both have their eye on the main prize: running for Paris mayor in 2014.

   2011 December 14, Angelique Chrisafis, “Rachida Dati accuses French PM of sexism and elitism”, in Guardian