The magic moment may have passed already in your timezone, but for many of us 05:06:07 08/09/10 is still a few hours away. I don't think anything amazing will happen during that moment, but someone should pay attention to a clock—just in case.
Of course, if you've miss staring at the clock during this amazing moment, don't worry! Similar things will happen again at 06:07:08 on 09/10/11, 07:08:09 on 10/11/12, 08:09:10 on 11/12/13, and 09:10:11 on 12/13/14. If you miss all of those fun little moments though, you'll be out of luck for a few years.