3D printing is a rapidly developing technology that has been championed as a revolutionary tool for the museums and heritage sector. Prints can provide innovative and engaging haptic experiences with objects in collections that cannot be handled, akin to craft replicas that have traditionally been employed. Large museums now regularly commission prints, yet evidence for the success of their deployment is largely anecdotal. This review considers how 3D prints have been utilized in museum contexts, with a focus on their successes and weaknesses as tools for public engagement.