Packaging and dispensing device comprising a clearance compensation cover

A device for packaging and dispensing a liquid or semi-liquid product, comprising an axial reservoir comprising a substantially transverse and horizontal upper wall provided with a neck which receives a release member, especially a pump exiting from the axial reservoir, and actuating means overlying the release member which is adapted to be acted upon to eject a quantity of the product out from the axial reservoir through the actuating means, the device comprising a cover which is received on the neck and which caps the release member and the upper wall, wherein the cover comprises at least a first inner member which is adapted to be axially and removably received on the neck in a given axial position, and a second outer member comprising a peripheral wall which is fitted onto the first member via a clearance compensation fastening means for allowing, upon an initial mounting of the second outer member onto the first inner member, the adjustment of the cover with the transverse face of the reservoir with a reduced clearance (J).