In this talk, I will discuss a flavor-safe explanation of the anomaly found in R_K = Br(B --> K mu^+ mu^-) / Br(B -> K e^+ e^-) by LHCb, within the framework of composite Higgs models. I will present a model featuring a non-negligible degree of compositeness for all three generations of right-handed leptons, which leads to a violation of lepton-flavor universality in neutral current interactions while other constraints from quark- and lepton-flavor physics are met. Moreover, the particular embedding of the lepton sector considered in this setup provides a parametrically enhanced contribution to the Higgs mass that can weaken considerably the need for ultra-light top partners.