On Saabs it seems to come on whenever. I know other lights on cars I've had (like oxygen sensor) come on at a set milage. It may be the same deal on your Honda. Usually there is a switch in a really awkward place you can hit to reset the light. I'm sure you can find where it might be on the internet. On my Sidekick it was under the speaker in the dash, on Troopers it's behind the gauge cluster and on my Cadillac I think you can clear codes through the climate control buttons.
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-Rob Riccardelli
80GB 16MB MK2 090000736