Not every day in the Neath is the same.
Some cards/storylets will have actions that change based on this mechanic, and not all possible actions will be there at once. Some are only available once before cycling back through.
When completing an action that connects with this time mechanic, you will see something like this:The wind toys with paper-scraps in the gutter.
This indicates that the actions unlocked by The Airs of London have cycled to the next in the rotation.
There are many great flavor descriptions of tiny day-to-day events that can be used to indicate time passage.
We won't list them all. They are worth a read in game when you see them.