lust after/for somebody/something phrasal verb (see also lust)

1. to be strongly sexually attracted to someone, and think about having sex with them:
She had secretly lusted after him for years.

2. to want something very much, especially something that you do not really need:
This is a car to lust after.

[TahlilGaran] Dictionary of Contemporary English ▲

lust for
v. phr. To physically yearn for; hanker after; want something very strongly.
Ed has been lusting after Meg for a very long time.

[TahlilGaran] English Idioms Dictionary ▲