It sounds like Acquired Cutaneous Adherence, or sticky skin
syndrome, and it's quite rare. It's often caused by a medication
, but not always, and it's not progressive, but is troublesome. Usually, when the skin is completely dry it's not sticky, but that doesn't seem to be the case with you, so it may not be this. You can find a discussion of this at...
and may be able to get a better answer.