Rolex ad Daytona 1992 replica
The advice given here is accurate to a degree. When wound, a rolex daytona IS running. However, it is the running seconds hand in the small sub-dial that is actually running. In the earlier Daytonas, this sub-dial was at the 9 o'clock position on the dial, (pre-2001 series daytonas). The later daytonas, from 2001 on, use the seconds at 6 position for counting seconds. The main sweeping second hand on the watch dial will NOT start until activated by the pusher at the 2 position. That pusher needs to be unscrewed and then pushed to start the large sweeping second hand. This action, in turn, starts the remaining 2 sub-dials in motion, counting minutes and hours. To stop the chronograph function, you push the pusher @ the 2 position again, to stop the sub-dial hands from counting, and then push the pusher @ the 4 position to re-set the dials to their "straight up position". This stops the chrono's function, until it is needed again, BUT the main running seconds, (at either the 9 or 6 sub-dial position, depending on the year series of the daytona) will continue to run, thus keeping accurate time.
Hope this gives you a better idea of how the timekeeping of the chronograph function on a Daytona works.
So, to start your seconds running you need to start the chrono function by pressing the pusher at the 2 position. That will allow you to see the large sweeping second hand I think you're referring to here.
Hope this has helped.
Doug