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All 3 hands overlap 24 times a day.
Nothing of any significance. It is either during the eleventh hour or elevem minites past the hour on a digital clock. On an analogue clock it is visible at all times.
Starting from midnight, and assuming (a) it displays all four digits and (b) it displays in 24-hour format - there are 16 palindromic times... 0000 0110 0220 0330 0440 0550 1001 1111 1221 1331 1441 1551 2002 2112 2222 2332
Working all the time, around all hours of the clock.