The example given is an employee who is consistently late for work. If you ask them to recount why they are late one day, a liar will tell you the story linearly: "I woke up, ate breakfast, hopped in the car, was on my way, minding my own business, then someone hit my car. I got out to trade insurance ... [etc]".
A truth teller jumps around, usually starting with the climax "Someone hit my car on the way in. I then realized my insurance was expired. I had just been going through my bills the previous night ...".
This is easily ascribed to the fact that the liar is either making the story up as they go or are repeating a rehearsed lie. A truthful person can jump around easily because they are recounting distinct memories.