You know, as long as we're talking about the cliche, one interesting thing to consider is that hand-set clocks are always slightly slow or slightly fast, so a properly functioning and calibrated clock isn't even right once a day.

We have standard-setting atomic clocks, but due to the properties of relativity, it's impossible that they ever precisely match each other, no matter how accurate their mechanism, and so realistically, you can only possibly have one clock anywhere with the "right" time.

So, if you're going by the most times it can be accurate during the day, but not the actual one standard clock, I think a clock that runs backwards as quickly as possible would have the most times during a day that it is accurate.