I had that a few months ago on my phone, the app would just never open and stay stuck on that screen. I found that the only way to fix it was to delete and reinstall the app
Chess.com app not loading

I tried it on sunday and it still worked tho maybe its just you

There have been some other similar reports. If you let it sit for a while, will it eventually load?
The apps don't use the website beta. It's possible the issue is related to loading the app while the site is experiencing very high loads though.
Is anyone else having trouble using the chess.com mobile app? I haven't been able to get past the loading screen since Wednesday morning.