What was that song?
About nine in ten live stations broadcast the current song title alongside the audio. Most players throw it away. Keeping it turns radio from something you cannot interrogate into something you can.
Watch the track line
On a station page the line under the title is the song, updated as it changes. Some commercial stations send advertising markers in the same field; those are recognised and dropped rather than displayed as though they were music.
Open the history
The history module lists what has played, newest first, with the station each song came from. It is global rather than per-station — scoped to one station it would be empty on almost every page you opened, which reads as broken.
Know that it is yours alone
History is kept in your browser, not on a server. Nothing about what you listen to leaves the machine you listened on, and clearing your browser data clears it.

Worth knowing. Live song titles and the history list both work in the browser. Rewinding the broadcast to hear the song again needs the on-device buffer, so that part is the phone's.