Podcasts are still not integrated for the Windows Phone 10 app. Of course there are other apps to listen to podcasts with but with the Spotify exclusive podcast productions (S&B, Germany) starting, that I would really like to listen to, there is no way for me to do so. Podcasts are not available on the desktop version OR on the Windows Phone app. Please do something about this. It's nice that you're investing in exclusive content but you should find a way to actually make it accessible to paying customers.
I have a premium subscription and use a Lumia 640 with Win10. The app is updated to the current release