To check the driver IC without schematics you'd have to scope all the outputs to the LCD, normal driving levels are (close to) 0V, (close to) Vcc, Vcc/3 and 2Vcc/3.
What can also happen with those LCD's is that one of the glass-metal "F" shaped contacts becomes loose.
Try applying some pressure to the LCD or contacts individually while it's working see if it makes any difference.