Also please try the music cube

When you first navigate to this page Last.fm will play, you can stop this when you wish with the control on the player. If you wish to continue listenening, just open the player with the popup button in the bottom right hand corner of  the player, remember to stop the first player or else you will get two tracks playing at the same time, tracks can be skipped at any time. Alternatively use the other options to the left and right.

Just click on the radio above, BBC iplayer will open to play Radio 1, then just minimise the window, and you are free to continue shopping, enjoy.