I have the same issue. I am installing on an ASUS X52J Laptop with the HD 6370M 512MB card.
When it updates to the decemeber 2013 driver the LCD on the laptop goes blank, but if I hook up an LCD to the HDMI adapter it is working fine.
I played around with all of the res settings and never can get the LCD screen to come back on. I believe the adapter is not comunicating with the LCD backlight properly as I can see something barely going on the laptop screen as if it is working but is not lighted.
As the driver that comes pre-installed has some performance issues (driver dated 11/2010), I found a driver on the ASUS website from 3/2011 that works better.
The 12/2013 driver works really great performance wise besides the issue with the laptop LCD, so I hope they update this soon.
Please submit a bug with the online submission and detail your specs so they can update this issue faster.