A teatcup and a cartridge insertable into a connector of the teatcup to be attached to the teat of an animal to be milked are disclosed. The cartridge includes an elongated sleeve, having an upper end section and a lower end section, and a teatcup liner pre-mounted in the elongated sleeve. The teatcup liner includes an upper end portion located at the upper end section, a lower end portion located at the lower end section, and a barrel portion extending between the upper end portion and the lower end portion. The elongated sleeve includes three separate primary hook members provided circumferentially after each other on an outer surface of the elongated sleeve. Each primary hook member has a lower slide surface sloping upwardly and outwardly, and an upper hook surface extending inwardly.