Runtime enforcement is a verification/validation technique aiming at correcting (possibly incorrect) executions of a system of interest. In this paper, we consider enforcement monitoring for systems with timing specifications (modeled as timed automata). We consider runtime enforcement of any regular timed property specified by a timed automaton. To ease their design and their correctness-proof, enforcement mechanisms are described at several levels: enforcement functions that specify the input-output behavior, constraints that should be satisfied by such functions, enforcement monitors that implement an enforcement function as a transition system, and enforcement algorithms that describe the implementation of enforcement monitors. The feasibility of enforcement monitoring for timed properties is validated by prototyping the synthesis of enforcement monitors.