But I have a different solution:
As I'm somewhat new, perhaps this is way off base, but...
I've noticed among those with quite a bit of rep to reserve a space for an answer and put something very small in, to answer first -- then edit and really answer the question as time goes along. It's appealing enough that I have gotten sucked into doing it a few times.
I feel like this is a crappy way to treat other answerers to the question, as you're attempting to make it appear to the asker that you are the first to provide an actual answer. If the user is not sitting there pushing Command+R on the page to watch for answers, it will look like you've written a novella before everyone else, and therefore deserve the accept.
A specific example:
On this question, the first answer posted didn't address of any of the original question's (multiple) questions. It was simply "C# does this, F# does this, big difference." Through a few revisions, Justin has gradually added more information to the answer, but his timestamp still says that he answered first. This is not entirely correct.
Aside: I tend to factor in first-to-answer when answers are very similar, and I am choosing an answer to accept. I did this here to Nadia, because she and another answerer actually hit the same thing, but the accepted answerer beat her by 2 minutes. Perhaps this is a flaw on my part, and I shouldn't take that into consideration -- I'd be interested to hear if others do when choosing an answer to accept.
So, to the feature request:
When an answer is edited, reset the timestamp on the answer to now.