A method for extinguishing a candle at timed intervals using a combustible material is disclosed. In one exemplary embodiment, the method includes: utilizing a combustible composition adapted for application to a wick segment; utilizing a combustible first wick segment; coupling a combustible second wick segment to the combustible first wick segment; placing the combustible second wick segment adjacent to the first wick segment; and configuring the combustible second wick segment to, as the combustible first wick segment, once ignited, burns down to the combustible second wick segment, interrupt and slowly self-extinguish the burning of the first wick segment. The candle wick is configured to be relit, post extinguishment, without having to physically remove a non-combustible barrier. A combustible composition also is disclosed. A candle further is disclosed.