A teatcup liner adapted to be mounted in a shell to form a teatcup to be applied to a teat of an animal, and a method of mounting a teatcup liner. The liner defines an inner space for receiving the teat and a longitudinal center axis. The liner has a head portion, a tubular barrel portion and, a tubular lower portion defining a milk channel having a cross-section area perpendicular to the center axis. The tubular lower portion has a primary engagement member to be engaged by a secondary engagement member of the shell. The liner includes a grip member extending from the tubular lower portion to be gripped by an operator when the liner is to be mounted. The grip member defines a force application zone on which a pulling force is to be applied and which seen along the center axis is located within the cross-section area.