I shaved my eyebrows once on a dare a couple years ago––it felt really cool, but I don't recommend it for a couple reasons.
Some people have eyebrows that, when shaved, grow back differently than they were before––or don't grow back at all. Eyebrows are very sensitive, and you need consult only the closest woman you know with any fashion sense who has done some/much plucking of eyebrows. Though not as damaging as plucking, shaving isn't good for them either.
Also, shaving eyebrows will demonstrate how invaluable they are. They really are there to keep crap out of your eyes. While nature has deemed head hair non-essential, haha, eyebrows are meant to be there, and its especially important as a bald guy to keep those eyebrows.
That said, I do trim my eyebrows––not pluck, not shave––because I think that a bald head in combination with especially fluffy eyebrows isn't a nice contrast. I just use a beard trimmer to even out my eyebrows and keep them at a uniform length.