fling (oneself) at (someone)
To eagerly pursue someone that one is romantically interested in. Naturally, Sean became more interested in me as soon as I stopped flinging myself at him.
fling something at someone or something
to throw something roughly or carelessly at someone or something. Don't fling that towel at me! Don't just fling that paper at the wastebasket, hoping it will get there!
fling oneself at someone
Also, fling or throw oneself at someone's head . Try openly to make someone love one. For example, She was constantly phoning him and inviting him over, really flinging herself at him, or Mom said she should stop throwing herself at his head.