Abstract: The present invention is directed to a tamper resistant closure system for a container having a body, a mouth or opening and a neck portion. The container is fitted with a cap such as a screw-on or snap-on type to cover and seal the mouth or opening. The cap is configured with a sidewall extending beyond the top sealing portion of the cap thereby defining a peripheral rim for a cavity or an open void created therewith. Fitted over the cap and preferably at least the neck portion of the container is a protective overwrap, such as heat shrinkable thermoplastic band which extends beyond the cap sidewall. The engagement between the band and the cap and container is attained by shrinking the band in tight conformance around the cap and at least the neck portion of the container, with overwrap material extending past the cap sidewall, such extension providing a finger grip tab that may easily be pulled to remove the overwrap when initially opening the container.