Apple's stock Podcasts app is a great way to follow and support your favorite podcasters, but it can also be a drain on your storage. Subscribing to a podcast through Apple's app automatically downloads new episodes to your device. While this is a great feature to keep you updated with all the latest episodes, it is also a strain on your device's storage capacity. You can navigate to Settings > General > iPhone Storage to see just how much space your Podcasts app occupies on your device.
Apple's history of support for chapters within podcasts has been shaky at best, going through several versions of limited support over the past several years. iOS 12 improves the Podcasts app handling of chapters, making it a useful feature - finding a point that you want to hear again, or skipping a part that you're not interested in are much easier tasks to accomplish now, rather than blindly scrubbing through. Of course the podcast producers need to implement chapters for you to make use of them, but if you have one that does have chapters, here's how to view them on iPhone and iPad:
In iOS 12 or later you can choose your own custom skipping times for the Podcasts app. The Podcasts app previously featured 15 second buttons for skipping backwards or forwards. This is a great feature for skipping a few seconds of a podcast without having to use the slider.
The Podcasts app on your iOS device can quickly fill up with episodes if you're subscribed to a lot of different shows. Sometimes you'll have to clean house to keep your episode list manageable and to save space on your device. First you'll need to decide what shows you no longer really listen to. Navigate to Podcasts > Library > Shows to see a list of podcasts you're subscribed to.
You can delete individual episodes in your Podcasts app by navigating to Library > Shows and selecting a show. From here you can scroll through all the listed episodes for the selected show and search for the ones you want to delete. Shows with no iCloud icon are stored on your device. Removing these will help free up storage space.