All the 3 types of chest don't have the correct model in the inventory or when being held. They have an old texture from MCPE Alpha and weren´t updated when chests got a 3D texture and animation when opening. The ender chest also got a model similar to the normal chest model (2D). It should be updated to be like when they are placed.
Linked issues
Attachments
Comments

Thank you for your report!
We're actually already tracking this issue at MCPE-7990, so I will resolve and link this ticket as a duplicate.
However, that ticket has already been resolved as Won't Fix, which means that this issue won't be fixed.
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:
📓 Issue Guidelines – 💬 Community Support – 📧 Customer Support – ✍️ Feedback and Suggestions – 📖 Game Wiki