A hand-grip accessory includes a body having a deformably resilient cylindrical shape provided with open end portions and an axial bore formed therebetween. The body further has separable longitudinal edge portions adapting the body between expanded and equilibrium arrangements such that the apparatus can be nested about a dumbbell. The accessory further includes a mechanism for tethering the body to a user's wrist such that the apparatus can be maintained within a restricted spatial distance from the user during operating conditions. The tethering mechanism includes a lanyard having oppositely situated looped end portions securely coupled to the body and removably positional about the user's wrist respectively. One of the looped end portions has a fixed diameter while another of the looped end portions preferably includes a coupling slidably mated to the lanyard.