Hi WJComstock,
Welcome to the Apple Support Communities!
We understand that when you're listening to Podcasts via AirPlay on your Apple Watch from your iPhone, you're unable to see the time in the app.
Are both your Apple Watch and companion iPhone running the most recent watchOS and iOS? If you need to update, we've included resources below:
Update your Apple Watch
Update your iPhone, iPad, or iPod touch
If they're both updated, we'd recommend that you restart your Apple Watch, companion iPhone and your Wi-Fi router if you're connected to a Wi-Fi network.
If you're still experiencing the same behavior, we'd recommend that you forget your Wi-FI network on your companion iPhone by going to Settings > Wi-Fi, Tap next to the Wi-Fi network that you want your device to forget. Tap Forget This Network, then tap Forget to confirm then reconnect.
If you're still unable to see the time on your Apple Watch while Podcasts are playing from your iPhone, we'd recommend that you contact Apple Support directly to investigate this further with you. You can find their contact information here: Contact Apple Support
We hope this helps.
Take care!