cast your eyes on something
cast (one's) eye(s) on (someone or something)
To have a selfish interest in or desire for someone or something. You better not cast your eyes on the last piece of cheesecake—I already claimed it!
cast your eyes on somethingor
cast your eye on something
If someone casts their eyes on or casts their eye on something or someone, they decide they want to have or own them. To our amazement, another developer has cast greedy eyes on the field next door.