You probably noticed I don't have a song linked above. Great observational skills you have there. I couldn't pick a song I always listen to twice in a row because I pretty much listen to everything twice in a row, sometimes even more than that.
When I write, I often use music as my muse and there are some songs that speak to me when I'm working on a chapter. Often I have these songs on loop as I write. It helps me set the tone, or find the voice I'm looking for when it comes to a particular section. It also provides great background noise to help keep me focused on the scene at hand.
The other time I listen to a song twice in a row are when it's something new and it's caught my attention. Currently that song would beMary Lambert's Secrets. I'm not listing that as my song that I always listen to twice because after a week or so I probably wont listen to it all that often and I'll be on to something new.