I've had about 50 broken fuzes come across my workbench, and my guess is that the lcd is cracked right at the bottom of the screen.
Or the cable is loose, but it's far more likely that the lcd is broken. The fuze lcd is VERY fragile.
If it's just the cable, try pinching the case on the left-hand side right under the lcd while turning it on. May or may not make it come on with the display working. The only way to be sure would be to open it up and reseat the cable, but these things are not easy to open or work on. I'm pretty careful and i still managed to destroy the first one i opened up.