Though not recommended with any cigar, sometimes it's unavoidable. IF you really are lighting up half smoked stogies, just make sure you PURGE the cigar before you let it rest. Before you set it aside, ash the cigar well, roll off any ash to the ember face, then blow gently and sustained through the cigar until you get no smoke, to purge smoke and vapors from the interior of the cigar. When you set the cigar down let it rest with the foot even with or higher than the cap, not foot down, this will allow the heat, and any additional smoke generated while dying out, to escape and not accumulate within the remaining cigar. When you re-light the flavor profile should return, although it will NEVER be as good as the original smoke, this should insure a more pleasurable return to an abandoned or interrupted cigar.