Recent technological advances in immersive devices open up many opportunities for users to visualize data in their environments. However, current interactive solutions fail at providing a convenient approach to manipulate such complex immersive visualizations. In this article, we present a new approach to interact in these environments, that we call On-Body Tangible interaction (OBT): using the body to physically support the manipulation of an input device. The use of the body to support the interaction allows the user to move in his environment and avoid the inherent fatigue of mid-air interactions. In this paper, we explore the use of a rolling device, which fits well on-body interaction thanks to its form factor and offers enough degrees of freedom (DoF) for data manipulation. We first propose a new design space for OBT interactions, and specifically on the forearm. Then we validate the feasibility of such an approach through an experiment aimed at establishing the range, stability and comfort of gestures performed with the device on the forearm. Our results reveal that on-body tangible interaction on the forearm is stable and offers multiple DoFs with little fatigue. We illustrate the benefits of our approach through sample applications where OBT interactions are used to select and execute space-time cube operations.