Yeah, 1 realization I made a long time ago was a day could have 25 hours or 23 hours. And a clever system having a timeline would show, e.g. in the Central European timezone:
According to a commenter above, the norwegian station of Troll[0] is on UCT in summer time but UTC+2 in winter time, so its "day" can have 22~26h.
Then there's the possibility of timezones straight moving around which can make entire days replay or disappear e.g. in Samoa there is no 2011-12-30, the day literally doesn't exist, Samoa local calendar goes straight 2011-12-29 to 2011-12-31, because at midnight the country switched from UTC-11:00 to UTC+13:00.
There's an intriguing way that railways handle the transition around here (central Europe): one way, trains stop in stations for an hour, the other, they all get an +1 hr delay at next station.
If a night loses 1 hour, the train stops for less time at the scheduled stops, or arrives with a delay. If the night gains an hour, the train waits somewhere for an hour. Which sounds like a painful thing, having to travel (or wait) an extra hour because of clocks.
Interestingly if the night loses an hour, the trains are automatically an hour behind schedule...
1 AM, 2 AM (CET), 2 AM (CEST), 3 AM, 4 AM...
or
1 AM, 2 AM (CEST), 4 AM (CET), 5 AM, ...