One can find various temporal deontic logics in literature, most focusing on discrete time. The literature on real-time constraints and deontic norms is much sparser. Thus, many analysis techniques which have been developed for deontic logics have not been considered for continuous time. In this paper we focus on the notion of conflict analysis which has been extensively studied for discrete time deontic logics. We present a sound, but not complete algorithm for detecting conflicts in timed contract automata and prove the correctness of the algorithm, illustrating the analysis on a case study.