maps.app on iOS "follow me" mode without a destination set
Make sure you have background app refresh turned on for Maps.  

Go to Settings -&gt; Maps and in the Allow Maps to Access section, turn on Background App Refresh and Cellular Data.  

Also, be sure you allow Maps to use your location by tapping Location and selecting While Using the App.

This is what I have done and the app follows me when I move.  I'm not sure if this is the root answer to your issue but it's how I have it setup and it works for me.