A smoker's pipe (10) has a section (22) which is rotatable relative to a section (66). A combustion chamber is formed by and between the two sections (22, 66). A tobacco holder (36) or a cigarette (C) is located within the pipe(10). A movable portion of a lighter unit (44) is moved axially inwardly of the pipe (10) while a mouthpiece (12) at the opposite end of the pipe (10) is within the user's mouth. This movement of the lighter unit part creates a flame (F) which is directed axially inwardly into the pipe bowl, to ignite the tobacco (T) within the tobacco holder (36) or a cigarette (C) in place of the tobacco holder (36). When it is desired to extinguish combustion, pipe section (22) is rotated relative to pipe section (66). This closes off air supply openings (16) and air supply passageways (42). The user can continue smoking the pipe (10) until combustion is completely extinguished.