If that doesn't help, Spotify says you should try reinstalling the app - but this means you'll need to re-download any music or podcasts you have saved. You can also try restarting the Spotify app or switching on Offline mode to stop your Internet connection from interfering. If your downloads aren't playing, ensure the download was successful by checking the arrow icon has turned green. If you have any issues downloading your music, make sure your device isn't in sleep mode, double-check your Internet connection is active, and make sure you have at least 1GB of free storage space on your device.
It's worth bearing in mind that you'll need to go online at least once every 30 days to keep your downloads - Spotify says this is so it can collect play data to compensate artists.
Where to find 'offline mode' in Windows (Image credit: TechRadar)