I didn't had 90% alcohol so I've tried glass cleaner - it worked only a little bit, so I've tried to apply more... And as expected controller stopped working completely. Had to disassemble the controller completely (using ifixit guide too).
Then cleaned excess fluid from a board near joystick. Also, I've opened the joystick itself and gently cleaned it's parts. After re-assembly joystick now works as good as new.