1 AM, 2 AM (CET), 2 AM (CEST), 3 AM, 4 AM...
or
1 AM, 2 AM (CEST), 4 AM (CET), 5 AM, ...
1 AM, 2 AM (CET), 2 AM (CEST), 3 AM, 4 AM...
or
1 AM, 2 AM (CEST), 4 AM (CET), 5 AM, ...
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.
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...