As long as it clears, and doesn't continue smoking after you have started it, I would just say its teething and would be worth monitoring to see if it got worse, however if you notice it smoking whilst the engine is warmed up then it is more serious. When you have a run tomorrow are you going with anyone else (more than one vehicle)? if so ask them to watch if its kicking out any smoke on heavy acceleration of if the notice puffs of smoke as you down change on deceleration.
The corrective work in itself is not that difficult, a new set of rings and a bore honing should clear it, however again, its about as deep as you can go for an engine strip, without actually removing the crank. You could maybe get away with a bore hone without removing the pistons, but this is just a partial fix. Like I said previous, monitor it, it maybe just tell take puffs at startup.
Cost wise, not cheap, but this is worst case scenario. At a guess you have about 45-55k on the clock and she may have been driven hard by its last owner. Fundamentally, there is nothing wrong with driving them hard. The engines are brilliant, but they need to be looked after if you are going to drive them hard. When was the last service, was it carried out utilising good quality oils and parts, by a Honda dealer. If you cannot ascertain its servicing quality, treat her to an oil change and maybe that will just do it.
As for driving it, as long as you do not have any oil pressure/light issues and there is no great plumes of smoke polluting the countryside. No worries at all. I reckon.