Swatch had a time system like that for a while:

http://en.wikipedia.org/wiki/Swatch_Internet_Time

1000 beats in a day, 0 is midnight at UTC+1 but it doesn't adjust for time zones. It never took off and I think they scrapped it but it would be useful for coordinating between time zones. I'm sure people would fairly quickly adjust to it for their longitude but it'd be very confusing when you were travelling.