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...