That's one of the new features of an update to TuneIn's app that went live Wednesday.
The service from Palo Alto, California-based TuneIn is not quite as good as on-demand listening, where you can hear just about any song in its entirety if you pay for a subscription to services like Spotify or Rhapsody.
But it's free - with ads - and gives you a way to find stations with real disc jockeys that are playing music you like.
You can even sometimes catch a song before it starts.
CEO John Donham says that's because TuneIn gets the song data from traditional radio stations, while the digital streams are fed to TuneIn a few seconds later.
After spending an hour or so testing a pre-release version of the updated app on an iPhone, I got a mix of songs starting anywhere from 20 seconds to more than a minute late. A couple times, I began listening to the radio station well before the song began, so I could catch the whole thing. Sometimes a 30-second digital audio ad - in most cases for GEICO car insurance - made me miss more of the song than I would have otherwise.