I'll try not to forget to mention it to the folks at Copernicus. 
Nooooo! Spoilsport! Please don't tell them. I'm serious; I want to see what happens when they short out the biggest Leyden Jar on the planet - because it
is the planet.
Space is a very good electrical conductor, since it isn't actually a total vacuum, but rather a thin plasma.
The Earth's atmosphere otoh, is a pretty good insulator. Google the estimated potential difference between 'space' (ionosphere, solar wind, etc) and the Earth's crust, oceans & bulk.
Also, with the tether sticking out well past geosynchronous orbit, and presumably being conductive, the upper end will make a really really excellent corona discharge point, into the interplanetary electrostatic environment. I soooo want to see what happens. I suspect it will be splendidly spectacular. Second best will be the expressions on the engineer's faces at the surprise. If they are standing within a hundred miles of the space elevator ground anchor point when the surprise starts happening, I hope the video feed holds out long enough that we can see them react.
Maybe someone there will live to post in the eevblog "what electric shocks have you had" thread.