You dont need a radio licence to listen to the radio in the UK today ..... all BBC radio (excluding BBC World Service) is paid for out of the TV licence fee.  If you don't have a TV you get BBC radio for free.

BUT

in a workplace or public area you may require a MUSIC licence.  This is totally unrelated to the radio licence of the past and the TV licence of today.

Any location or premises, outside of home, where music is played from clubs to concert halls, from discos to dentists’ waiting rooms and from trains to takeaways needs a PRSforMUSIC Licence for the public performance of copyright music.

You read a fact sheet on this on the PRS FOR MUSIC website

You can also see a BBC news report on this issue.

Essentially your PRS for Music licence pays the musicians and composers whose tunes amuse you during your daily toil !!  It should be noted that radio stations ALSO pay PRS for playing the tunes that you listen to at work.