The cover is made with two parts that close on each other over a cap on a drug product bottle. Each cover part has a semi-cylindrical periphery, a semi-circular lid and a radially inwardly directed ledge along a bottom edge of the semi-cylindrical periphery to fit under the cap of a bottle in a closed position. The cover parts snap together to lock in place. In one embodiment, the cover cooperates with a handle assembly having a handle of U-shape that is disposed over the cover to prevent separation of the two parts from each other.