have designs on
Contrive a secret plot or scheme, especially with selfish motives. For example, I think he has designs on my job, or Mary has designs on her sister's boyfriend. This term uses design in the sense of “a crafty plan,” a usage dating from about 1700.
Words nearby have designs on
have an edge on,
have an eye for,
have an out,
have another guess coming,
have at,
have designs on,
have dibs on,
have done,
have eyes only for,
have fits,
have going for one