The cellophane wrapper

[cmitch]

I leave mine on and I'll tell you why:
When you handle cigars, incidentally, the cigars handled can get trace amount of bacteria, fungus, etc. on them. The human hands are generally the dirtiest pieces of flesh. Staph, strep among candida and other bacterias and fungus thrive on human hands. A cigar without the wrap is exposed every time you handle. Several times I've dumped unwrapped sticks that had contamination that grew into an unidentifiable substance. If all my cigars had been unwrapped, there's no doubt these 'contaminated' sticks would've spread their funk to the rest of them.