What other software do you have running in the background? Any overlay software like MSI AB?
Just tested this game on my Pro Duo with and without CrossFire and no issues on 16.10.3.
Raptr is running in the background, the recording software.
I did find another couple clues though. First, I noticed that RadeonSettings.exe was using CPU so I ended it in the task manager. The blinking then stopped, but started again when I launched Battlefront again. THEN I decided to unhook my other two monitors. I have three monitors, but two of them are turned off 99% of the time. I don't game with them. One of them is my TV, and the other I only have on for video editing. However, unplugging them made the problem go away. Then even after I hooked them back up, the game worked fine again and the problem went away. So far the game has worked fine the last couple days even though the monitors are hooked back up.
So I'm not really sure what to think. Something in the multi-monitor setup makes Crimson go nuts, and the RadeonSettings goes nuts, but it's fixed by unhooking and re-hooking up the monitors.