I know it was enabled and recording, but since May 24th, it has just stopped. Prior to that it was working fine. And I know I'm getting visitors to my site because I can see them under "Latest Visitors".
You need to be patient, as Awstats takes some time to update. There are lots of accounts on the same server your account is, and many domains for each account. Awstats needs to update information for each of this domains, so it may take a few days.