Soundtrack #1:
He doesn’t give up on her but she “rejects” him and when he leaves she realizes her feelings and starts missing him and tries to get with him when he returns. One of my favorite dramas.
Smile, you:
This is an older korean drama and it’s not the FL but 2FL that the ML gives up on. He chases her for 8 years and gets constantly rejected by her, after he leaves she realizes her feelings and “chases” him back just to get rejected herself. It was satisfying for me.
It’s hard to find a drama where the ML just gives up chasing the FL, without him being rejected first.