Single word for "disliking something at first but then eventually liking it."
Not a single word, but an often used idiom:
Become gradually more appealing to (someone)
‘This is the kind of album that grows on you with every listen.’
grow on sb
If someone or something grows on you, you like him, her, or it more and more than you did at first:
I wasn't sure about this album when I bought it, but it's really grown on me.