An exemplary embodiment providing one or more improvements includes removable faces for jaws in machine vise which are able to grip a work-piece with great stability, accuracy, and reproducibility. Embodiments include multiple gripping features so the gripping surface easily can be renewed by demounting and reversing a worn face to a new face. Embodiments include the ability to of the claw jaws to be mounted on any fixed or movable vise station to use the entire clamping range of the machine vise. Embodiments are disclosed which are used with round or curved as well as flat work-pieces. Embodiments also include flat surfaced claw jaws which may be used to grip a work-piece for secondary machining to remove indentations from the work-piece.