I assume you're using android? If so, yes, just install the new update without uninstall the current one, it will automatically update without losing your progress.
Excuse me, I was really scared if I lost my saved game, I don't want to restart again.
How do I get it back when I install another app for update? I'm using Android.
Can someone answer me please?
Just do what Karyn says, if you're on android, just install the new version later (0.4.0) without uninstalling the current version (0.3.9v2)