I have just discovered podcasts in the Spotify mobile app and as an avid podast fan I'm delighted to finally see this feature!
I would love to be able to alter the speed of a podcast, to play at 1.5X or 2X the default speed as per the default apple podcast app I currently use.
As many podcasts I listen to are very long (up to 2 hours), until such time as the playback speed can be altered I will use the apple podcast app to listen to podcasts.
Updated on 2019-07-04
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Podcast speed controls should now be available across all devices. You can play at speeds of 0.5x, 0.8x, 1x, 1.5x, 2x and 3x.
The desktop controls can be found in the bottom right corner and the controls on mobile can be found to the right of the play button, when you're playing a podcast.