Unknown LCD 54 pins used in a "pricer"

no, the crystal is a 32.768KHz, but, on the LCD pins, the signal is mostly at 32,1Hz ,
except on pin "23" (or "31" depending on the real number "1" ) on which it is at 96,2 Hz
It seems to be OK as far as I know, for a LCD display.

The 1Hz signal is the one on the "+" pin of the component (maybe the IR receiver ? ) which on the right on the photo, just under the letters "D1" . I guess that the signal changes there only when they send an IR signal in order to change the informations displayed (new price ...) .

The connexions are as they were. I've just replaced the original batteries bay a new one, and put a red wire on the "+" and a blue one at the "-"

I agree, and I don't really hope to use the control chip. I'd be happy if I could get a "datasheet" of the LCD alone, or at least a pinout of it.