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The absence of deviations in flavor and CP violating observables significantly constrains new physics at the TeV scale. I will quantify this statement focusing on a particularly predictive framework for flavor violation beyond the Standard Model, known as Partial Compositeness. Within this picture the dominant experimental constraints arise from the leptonic sector. I first review “anarchic” scenarios and their predictions, and then present a few extensions that are compatible with a new physics scale at the TeV.