I unequipped a chalcoelectronic ring, and noticed something odd. I seem to be able to retain its stat bonuses after taking it off as long as I am wearing another ring. Only once I take off the second ring do the stat bonuses from the chalcoelectronic ring vanish. The bonuses also go away if I equip a different ring. I am not sure whether this happens with all other rings, but I just tested with various combinations of the other rings around the level, and the same thing occurred every time with every combination of two rings.