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.