I reckon crediting the song that relates to the scene/chapter is fine. I assume you mean by like, putting the song title or lyric as the chapter title or something?
I remember PancaKe used to do this with a lot of chapters from Lapras Valley High, and she would explain the song reference just before the chapter began, I guess so the readers could check it out for themselves. It was used to very good effect, IIRC.
I've done this to a much lesser degree in LTL - once or twice I've used a song title as a chapter title, but without linking it much to the characters or what they're going through.