I caught the first half on the radio in my car and the second half at my friend's house. There's not much to say... the Vice President walked away with it. It's odd to me that he would have been so certain about not meeting Senator Edwards and yet mistaken, but otherwise I think he did a great job. He could have done more to point out that the "huge corporations" Edwards loathes are actually owned by Americans -- specifically Halliburton.
It was a bit odd that the VP surrendered so much time on a few answers. That's unusual for political debates, but in general I think it's smart to be concise rather than to keep talking just to fill space. That's what Edwards did several times, jumping from topic to topic, and it was annoying. Despite Cheney's restraint, the debate still went 10 minutes over its alloted time.