A novel cigarette system is described which has a greater number of puffs than a conventional cigarette of same dimensions and length of tobacco rod, namely at least about 14 puffs. The cigarettes are intended to be partially smoked, extinguished, stored and then resmoked. A filter is attached to the tobacco rod of the cigarette constructed to provide a per-puff delivery profile of tar, nicotine and flavor to the smoker which is approximately the same for both smokings of the cigarette. The greater-than-normal number of puffs may be achieved by employing a slower burning tobacco blend, greater tobacco density and/or burn rate retardant paper. An extinguishing and storage device is provided to extinguish the cigarette after the initial smoking of the cigarette and to store the extinguished cigarette between smokings.