Reposted from Saso
"I have found the cause for the blinking of screens. The issue is being caused by the reflection detail. Due to a bug, we keep resizing some backing buffers when X-Plane calls us while drawing the reflection. As a temporary workaround, you can set reflection detail to "Minimal".
This could be a bug in the AMD drivers. We'll need to do more investigating. In the meantime, have you tried using X-Plane in full screen mode? If the problem persists in full screen mode, try Windowed mode. I know it may seem like a pain, but this may be the only workaround for it for now.