Many watches come with this cover from the factory, but what is being suggested here is that it was put on the caseback after it's most recent service, just as a little protective cover if they polished the caseback to keep it looking new for the owner, but intended to be removed before wear. Like a plastic cover you get on the face of a new electronic device that you peel off. Some people keep these in place to keep the caseback fresh, but I always remove them. You can most likely peel it off and use something like rubbing alcohol on a Q-tip to remove and residue remaining. (Use only a small amount, don't soak it so the alcohol doesn't spread all over and risk getting in through the crown or caseback seam.) A safer method still is to use a piece of tape and stick it to the remaining adhesive over and over lifting bits until it's gone.
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