A tamper evident closure for a container, comprising: i) an inner cap rotationally disengageable from the container; ii) an outer cap rotatable relative to the inner cap to bring the outer and inner caps into driving engagement with each other in the rotational disengagement direction, iii) a tamper evidencing element and iv) a marking member operable to mark or damage the tamper evidencing element to provide tamper evidence; the marking member being rotatable together with one of outer and inner caps and the tamper evidencing element being rotatable together with the other of the outer and inner caps such that their relative rotational movement causes the marking member to move along a surface of the tamper evidencing element so as to mark or damage the tamper evidencing element and provide the tamper evidence; characterized in that: the tamper evident closure further comprises an eccentric stop (24, 32, 108) on one of the inner and outer caps, the eccentric stop (24, 32, 108) being separate from the marking member, the range of movement of the eccentric stop (24, 32, 108) being limited by a pair of co-operating stops or stop faces (22, 34, 112a, 112b, 122, 126) on the other of the inner and outer caps; whereby the eccentric stop (24, 32, 108) engages one of the stops or stop faces (22, 34, 112a, 122, 126) to prevent rotation of the outer cap relative to the inner cap in the screwing-on direction as the closure is applied to a container, thereby to substantially prevent movement of the marking member along the surface of the tamper evidencing element so as to substantially prevent marking or damage of the tamper evidencing element as the closure is applied to the container; and the eccentric stop (24, 32, 108) engages the other of the stops or stop faces (22, 34, 112a, 122, 126) to rotate the inner cap in the unscrewing direction as the outer cap is rotated in the unscrewing direction, having moved from the one stop or stop face (22, 34, 112a, 112b, 122, 126) to the other, thereby causing the marking member to move along and mark or damage the tamper evidencing element. i) an inner cap rotationally disengageable from the container; ii) an outer cap rotatable relative to the inner cap to bring the outer and inner caps into driving engagement with each other in the rotational disengagement direction, iii) a tamper evidencing element and iv) a marking member operable to mark or damage the tamper evidencing element to provide tamper evidence; the marking member being rotatable together with one of outer and inner caps and the tamper evidencing element being rotatable together with the other of the outer and inner caps such that their relative rotational movement causes the marking member to move along a surface of the tamper evidencing element so as to mark or damage the tamper evidencing element and provide the tamper evidence; characterized in that: the tamper evident closure further comprises an eccentric stop (24, 32, 108) on one of the inner and outer caps, the eccentric stop (24, 32, 108) being separate from the marking member, the range of movement of the eccentric stop (24, 32, 108) being limited by a pair of co-operating stops or stop faces (22, 34, 112a, 112b, 122, 126) on the other of the inner and outer caps; whereby the eccentric stop (24, 32, 108) engages one of the stops or stop faces (22, 34, 112a, 122, 126) to prevent rotation of the outer cap relative to the inner cap in the screwing-on direction as the closure is applied to a container, thereby to substantially prevent movement of the marking member along the surface of the tamper evidencing element so as to substantially prevent marking or damage of the tamper evidencing element as the closure is applied to the container; and the eccentric stop (24, 32, 108) engages the other of the stops or stop faces (22, 34, 112a, 122, 126) to rotate the inner cap in the unscrewing direction as the outer cap is rotated in the unscrewing direction, having moved from the one stop or stop face (22, 34, 112a, 112b, 122, 126) to the other, thereby causing the marking member to move along and mark or damage the tamper evidencing element.