OvercastSYNC ISSUE FIXED!
If the new app wasn't syncing or showing your podcast list for you:
Force-quit, relaunch.
You will probably see the initial "Syncing…" screen again, and then you should be OK. Let me know!
Geoffairey@overcastfm Any news on fixing Playlist configuration (e.g. ordering) or the bug which doesn’t play the next Podcast in a playlist please?