I'm not sure specifically which 'time stories' you are referring to. There could be various stories related to time in different contexts, such as time - traveling stories, stories about the passage of time in a person's life, or stories set in different historical times. You need to be more specific to get a detailed full story.
Well, if we consider time stories in a general sense, they often involve themes like the preciousness of time. For example, a story might tell of a character who wasted their time on unimportant things at first but then realized the value of time when they faced a life - changing event. Another aspect could be time as a force that changes everything. A story could show how a town changed over decades, how relationships evolved with the passage of time.