"The Nurse", by The White Stripes. To me, this sounds like Hot Chip trying to lay down one of their smooth indie pop grooves in the studio, with Animal from the Muppets crashing the party in his own inimitable style. Plus, as the boys pointed out, the start of the song is identical to the Rugrats theme music.
Also, I must have heard the song "My Doorbell" a couple of hundred times, without for a minute suspecting it was by White Stripes. Actually, I don't know if I ever really thought about who it was by, but I had in mind someone like Amerie or someone of that ilk. Which, I hope, is some kind of a compliment to their being able to pull off what I think they were trying to do.