This is really a pretty common problem among all cigars except it should happen less with better premiums. Wrappers usually peel for two reasons: Either they were not properly wrapped at the factory in the first place, or the cigar has become dry. In the latter case, the wrapper may not have enough elasticity to cling to the binder. Be careful when you clip the cigar, too. If the wrapper is peeling at the head you can often repair it by just moistening it with your tongue. If the wrapper starts peeling from the lit end, or continues to do so even after you moisten it, you can trash it or remove the wrapper. But smoking a peeling wrapper can get pretty messy and since the wrapper contributes so much to the flavor of the cigar, smoking a cigar without it is not just unattractive, it’s just plain yucky.