Patrick,
If I ever actually run 6 miles (or walk it, for that matter!), I'll get back to you on the issue!
I can say that my eye does seem to produce tears quite randomly. Mine was dry most of the day yesterday, as we were outside a lot and we had very low humidity, but then we sat down to visit some friends, and all of a sudden, I had tears dripping out of my eye. Then later on, it was dry again. I have also noticed (and there was a thread about it on here recently) that when I do anything that would raise my body temperature - exercise, brisk walking, yard work - my eye tears more and my nose runs. I think the nose running is actually from the excess tears draining through the tear ducts.
Maybe when that nerve starts to come back, it only comes back in spurts? It tears a little and then tires out? Just a thought, I have no medical evidence to back that up, but since no doctors seem to be able to make sense out of it, I figure I can't be too far off the mark!
I would say that it is a good sign for the future if you are producing any tears at all. Some are definitely better than none, but it's probably something that will continue to improve. Hopefully!!
And good luck with your training! I'm really impressed by all the runners and other athletes we have here.
Lori