A kairos (pl. kairoi) is a moment of time when something significant happens.
A clikurios anticipates and manipulates kairoi slightly using the Lore Stream of Magic. Usually such manipulation is slight, but can become incredibly powerful over time as one slight change to a kairos will then create different kairoi and so on.
The more a clikurios researches, the more kairoi appear to him, allowing him to manipulate and anticipate longer and more powerful chains of events.