OK, so this song totally couldn't be more Elliot if it tried. I have written a fic to this song on fanfiction.net, too. Check it out. Penname is JimberlyShipper. Enjoy!
Storyline: Elliot and Olivia are having a secret affair, (and everyone suspects they are, but they won't admit it) and at the end they go public and Elliot hugs her.