They do: http://www.rdio.com/apps/ (unless you are looking for a Linux desktop client)
I believe it just opens up a "web version" within the desktop app, but I could be wrong.
Still love the service, I don't have much use for "Offline" capability on my laptop/desktop - the mobile/tablet apps serve that need just fine.
The big plus of the desktop version is that it works with the media keys on your keyboard.
Re:Rdio is Now Free on the Web
by FireBeyond on Friday January 17, 2014 @12:46PM
(#7077194)
And exposes an API, too, I believe, that lets things like Alfred Workflows on my Mac also control from the keyboard and hotkeys.
Now I'm a happy Rdio subscriber. I just wish they would have real native desktop client.