Tom and Keith and maybe a drink or two hundred!
Love this story buried in the comments:
How Waits co-wrote this with Keith Richards is an interesting story. Waits, who only composes with his wife, was in the studio and having a difficult time with the guitar part of some other song. His assistant asked if he wanted anything (food?) and Waits responded in jest "Yeah, get me Keith Richards." A while later his assistant returned and confirmed that Richards would be there in a few days. Waits yelled "no, I was kidding!," but could not think of a way to uninvite Richards. "That Feel" resulted.