This is the future, why do we need 2 windows? Maybe after you choose which podcast to listen to, have the tracker/timer/whatever conveniently located in that black bar that holds RT, AH, and RTX as well as your profile on the right corner. There's plenty of space in between for a timer.
I've actually just started listening to the podcast on the site recently on my phone. I .. think I might get what he's saying though because sometimes I want to check the link dump while the podcast still plays but don't for fear of messing up the podcast. No idea if that's what he's getting at or not.