Does an app exist for the iPhone that sends a push notification if it detects that the device has physically been moved? Does an iPhone app exist that sends a push notification if accelerometer movement is detected? A good use case for this would be in environments where a phone is left unattended - I'm sure I saw an app a while ago that does this, but can't find any references whatsoever now!
You can use the Find My-app to let a friend know when your location changes or also get a notification when your friend’s location changes.

More about Find My-app www.support.apple.com