When I read your original post, I was thinking a little differently than some of the others. I think a wrapper that is coming loose while sitting idle in a humidor is a sign of too little humidity. The "glue" used to seal the wrapper has dried to a point where it doesn't hold the wrapper in place.
While low to mid 60's% rH should be fine, it may be a case where your hygrometer is reporting higher than actual levels.
Also, I have found cigars with thin wrappers (Oliva Melanios, as an example) require a little higher humidity to ensure the wrappers don't crack or peel.