The only time you'll see work done is if you close the circuit. Open circuits do no work, thus no chemistry.
You now have increased the potential of your system. Like stacking two blocks on top of each other.
At the exact moment you do this, you do move around some electrons, but the whole process is less interesting than you think and occurs on a very fast time scale. If you really want to know more about it let me know, because I don't know off the top my head and will have to go find my freshman physics book.