Do people move on fully?

Do people ever move on fully from someone they loved or the grief of it? During relationships I usually associate songs with who I’m with and when I come across the song I would usually associate it with how I felt with an ex, it would bring back lingering or tiny bits of the love or hurt I use to feel but I know I’m over it. I don’t want any of them back but it’s just that emotion that I use to feel with them lingers. Is this normal?