Ok, the two complementary outputs are pulsed. The coil is driven only a few ms out of each second, otherwise the AA battery would be dead in a day, instead of a year...
The reason you see only +0.2V on the output is because the pulse is actually ~1V peak, but is only on for a few ms. You DMM is displaying the "average" or "true RMS" value, depending on how much you paid for the meter.
Disconnect the little coil, and try again. One output should pulse once per two seconds. The pulse duration might be not be long enough to pulse your big solenoid. If not, you might have to add a one-shot pulse stretcher (555) to allow your big solenoid to go "clunk". If you want your solenoid to pulse once per second, then you will have to add the "OR" gate shown in the other thread.