A closure construction of the present invention includes a container with male threading on the neck thereof with a pair of locking notches. The cap includes a pair of split arcuate walls with partial threading thereon, which provides, in cooperation with each other, a threaded connection between the cap and the male threading disposed thereby releasably securing the cap to the container. A pair of protrusions are connected to and emanate inwardly from the inner surface of the outer wall. The pair of protrusions are releasably respectively seated in the pair of locking notches when the cap is threaded past a predetermined point onto the neck of the container. When the cap is squeezed in a direction generally perpendicular to a line running through the protrusions, the protrusions lift out of their respective locking notches to permit the cap to be unthreaded from the container.