It may be possible to hook yourself up with static straps on both wrists (and perhaps ankles) then connect a high impedance voltmeter or scope to the ends.
There are devices for testing a static wrist strap while it is being worn by a user. The unit passes an extremely low current to the strap and through the user as they touch a conductive plate or button on the device. So there is a way to detect small currents through the body.
There are also wearable voltage detection devices that can detect live 50/60 Hz voltages at moderate distances, it may give you a warning just before an electrical contact to your body. Similar to this you could even construct your own circuit for detecting 50/60 Hz voltages at a distance. Such a device might give a reading if placed near a person who is being shocked by a live AC wire.
You might also try a kind of current transformer placed around ones arm, leg, or other parts of the body. As with a typical current transformer trying to detect very low currents in this manner may require several loops of wire. I think there is actually a prototype of this idea.