Turn on VSync. Turn up your graphics settings, antialiasing, anisotropic filtering, texture filtering, etc. Are your framerates near 60 FPS or a lot higher?
In games and normal use, Vsync on or off doesn't help. It could be during crysis 3 at 45 fps or even bioshock infinite at 100+ fps. The screen tearing and flickering is still there. Believe me, the card performs well and I max out every game outside of crysis 3/far cry 3 with a flat 60 fps. With my old 660 ti I never had an issue with tearing like this or flickering, so I know it's not my cables or monitors.
EDIT: The only time the flickering/tearing went away slightly was during a bit of 3d mark 11. However odd that may sound.
I just don't know if it's still a big driver issue with a workaround or the card is bad and I should get my money back.