This is still experimental and not available on all stations… but if you see this symbol 
next to the listen button, this opens a window with an embedded Windows Media Player control inside. This window will auto-close itself after 1 hour – so you can listen to a stream while you fall asleep and not have to be bothered by the stream all night.
On the todo list is to make it more customizable, and perhaps create a wake-up function that will begin playing the stream in the morning (of course limited by the computer still running, and the station stream being available).