Hey Jrsodajerk,
Thanks for using Apple Support Communities! I understand that the app in your iPhone dock are not staying when you re-arrange them. I definitely want to make sure you're able to organize your apps as expected, and I'm happy to help.
If you haven't already done so, I recommend restarting your iPhone. You can use the steps for restarting here: Restart your iPhone, iPad, or iPod touch
Let's also make sure there are no pending app updates. Updating apps in iOS 13 has changed a bit. You can see how to update here: Update apps or use automatic downloads
If those steps don't help, I would like to get a bit more information on what's happening. That way we can get you pointed toward a resolution.
Are you seeing this happen with all apps reverting, or just those in the dock?
Does this happen after any specific event, like a restart, or use of an App?
If you choose different apps for the dock, does the same behavior happen?
Thanks again, and have a great day!