I updated my iPhone 4S to iOS7.0.2 and it immediately put the phone in recovery mode. The phone was dead. Fortunately, iTunes had it backed up on my Windows XP (no smirks please, it's historical) and was able to restore the phone, mostly.
The Podcasts app would open and then die immediately.
It took a while to find the fix. I went to "App Store" on the phone and found an update for the "Podcasts" app. After applying the update it was all working again.