I'm find several podcasts are saying downloaded but cut out halfway through as not fully downloaded. Occurring since Lollipop.
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Nick Lowry
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Please don’t use this page to report issues. It’s dedicated to new feature request.
Use the dedicated form instead (Settings/Feedback/Report a bug or press the Contact support button on this page)
Regarding the issue, this is yet another Lollipop issue. The device built-in player isn’t reliable anymore since Lollipop. There’s also the memory leak issue which kills apps too frequently.
Until those fixes are released try rebooting the device once a day to limit those issues