I removed the glass LCD panel on a 16x1 display so I could peel off the reflective coating and install an electroluminescent backlight.
I noticed that for a while, as I touched the contacts with my fingers I could trigger some of the display segments to turn on briefly.
I let the panel sit for a couple hours and the effect is gone now. Guessing that the capacitance between the "sandwich" stored enough charge from when it was receiving power to power it for a bit, even after it was disconnected?