Abstract: Apparatus for providing an enhanced grip between a gloved hand and a handle or other object to be gripped. A portion or all of the glove and a portion or all of the handle are provided with selected first and second gripping surfaces, respectively, of the same or different materials, that join together, temporarily or permanently, and provide a stronger hand-to-handle grip that resists slipping. Alternatively, a flexible band, having second and third gripping surfaces on opposite sides, is wrapped around a first object that is to be rotated or otherwise moved relative to a second object, such as a lid and a jar. A gloved hand, having a first gripping surface, grips the flexible band and the first object and forms a strong temporary join between hand, flexible band and first object, allowing the first object to be more easily moved. Various thermoplastic, amorphous polymers, crystalline polymers and rubber-like materials can be used for the gripping surfaces.