Autozones I've visited recently. They used to clear but I think they've changed their minds about clearing codes (liability?). If you really wanted to get a code cleared you could still ask.

The last time I had an issue, they refused to clear the code and told me it was against company policy.

I believe that disconnecting the battery for a few minutes will still clear codes on most older cars, however.

For people like me who drive cars into the ground, a code reader/clearer is almost a necessity. I wouldn't go to Autozone to clear a code all the time.