There is a bug if you hold a fishing rod and walk/run your right hand will not move.

I can confirm this happens on PS4 v1.16.61 

Thank you for your report!
We're actually already tracking this issue at MCPE-94201, so I will resolve and link this ticket as a duplicate.

If you would like to add a vote and any extra information to the main ticket it would be appreciated.

If you haven't already, you might like to make use of the search feature to see if the issue has already been mentioned.

Quick Links:
📓 Bug Tracker Guidelines – 💬 Community Support – 📧 Mojang Support
📓 Project Summary – ✍️ Feedback and Suggestions – 📖 Game Wiki