Apologies for the delayed response, but thanks for reaching out. If it's not too late, we'd like to try and help.
I notice this thread was created a couple of months back. Have you tried updating to our latest Crimson driver which is 16.4.1? You can download that driver here.
In addition to the above, please put all of your hardware components back to their stock clocks, as running them overclocked could potentially cause some of the problems you have been experiencing.
If you continue to experience the same issues mentioned in your post, please respond with the following information.
1. What web browser are you using?
2. What is the make and model of each display?
3. Do you experience any display driver crashes while gaming, or is it just while streaming or watching video online via a browser or using VLC player?
4. What is the make and model of the R9 380 you are using?
5. Do you experience crashing with just one display enabled?
I was able to solve the problem by a large degree by not only uninstalling the driver software, but using the specific amd tool for getting rid of it. I'd tried other software which is normally reliable (Driversweeper, DDU), but if I recall correctly, only AMD Cleanup Utility worked. I then reinstalled and it's been much smoother sailing since then.
I still experience occasional crashes, but they are harder to diagnose because of their reduced frequency.
To answer your questions just for the sake of thoroughness:
1. Google Chrome
2. Acer x173w (VGA using DVI adapter) + Westinghouse LCM-22w3 (DVI)
3. Crashes when gaming are/were less frequent, but I'm not a daily gamer.
4. XFX 4gb
5. I don't believe I tried this.