I found it in the App Store last night while I was winding down from my long day. The app works pretty well for the most part, and you can listen live to many of RAI's stations (although, I find that live listening works better on ooTunes). The great thing about this app is that is keys you into all the podcasts, allowing you to listen to many of the podcasts on RAI 1, 2 or 3. I'm really impressed with the app (although there is room for improvement!).
Listening to the radio, while it's challenging and difficult for many, is a great way to learn new words and to practice your listening comprehension. The fast pace of speaking takes time to understand, but the more that you practice listening, the better you will be at it.
If you're interested in downloading the app (it's free, by the way), click here.
RAI's smartphone page is here ("Tutta la radio in tasca!").