It's difficult to say from the information provided. We're not aware of any issues, but that's not to say there are not any.
Have you tried using a newer/older driver?
I have exactly the same problem (Unreal Engine 4, r9 380)
Program crashed very often. I update driver 3/4 times...
I was looking for it on both forums (UE4, AMD) and I see that many people have the same problem on 380 and 390, and AMD nothing do with this... Why?
If I can help, give any informations etc. you can write to me