This expression describes someone having a feature (like eyes, nose, chin, etc.) that looks like their parent's. For example:

You have your mother's lips.

Don't you think she has your ears?

You can also use this for personality features that a child shares with a parent:

He has his father's stubbornness.

You usually don't use "___ has your ___" to talk about people who aren't related, even if they do look alike.