It seems to be a problem with the Dualshock 3 CECHZC2U A2 versions (the same ones that come with S3 Super Slim). My right analog sick drifts the camera upwards at the slightest touch and the left stick, if I move it slightly in the NW/NE and SW/SE directions, the character on screen will keep moving to the left.
It's annoying as !&&* in games witch require somewhat fine movement like MGS5.
But then again, when they are built as cheaply as they are, it'll start messing up quickly.