A threaded container closure assembly in which the container comprises one or more radially extending members proximate the distal end thereof that initially engage with one or more radially extending members or partial radially extending members on a mating closure or top proximate the distal end thereof so that the container and top become at least partially interconnected and are thereby not too easily and inadvertently separated while the user attempts to cause engagement of the threads for screwing down the top onto the container.