A child-resistant closure system for a container includes an overcap having a pair of levers, each opposite the other and formed into a side facing of the overcap, each lever including a lower vertical member on a rear side thereof, the overcap including a pair of partial threads extending horizontally along an inner surface at the bottom of the overcap, each partial thread 180 degrees from the other, and a cylindrical collar configured to receive the overcap thereon, the collar having an opening configured to receive a dispenser tip and bottleneck of the container therethrough, the collar forming a mechanical bond with the bottleneck, the collar including a neck having a pair of neck threads formed around an external surface thereof, each neck thread 180 degrees apart from the other on the neck, each neck thread terminating at a truncated vertical wall formed on the neck external surface.