A device for more efficient coupling and de-coupling of a hole saw to an arbor. A hole saw has a bottom wall with a central threaded hole. The arbor's clamping device has first and second thread-engaging parts for engaging the internal thread in the hole saw's bottom hole. The thread-engaging parts are moveable with respect to one another perpendicular to the longitudinal direction of the hole saw. When the thread-engaging parts are in a first, disengaged position, the clamping device allows retraction from or insertion into the hole saw's bottom hole substantially longitudinally. When the thread-engaging parts are in a second or engaged position having a larger circumference, the clamping device engages the internal thread in the hole saw's bottom hole for clamping the clamping device in the hole. The clamping device used in the hole saw provides a quick-coupling for mounting a hole saw on an arbor.