In the database literature it has been proposed to resort to active integrity constraints in order to restore database integrity. Such active integrity constraints consist of a classical constraint together with a set of preferred update actions that can be triggered when the constraint is violated. In this paper, we adapt this idea to Description Logics: we extend TBox axioms by a set of preferred updates of atomic concepts. We resort to a dynamic logic framework in order to provide an account of active TBox-based ABox repairs.