We present a phenomenological study of the implications on charged lepton flavor violating (LFV) processes from slepton flavor mixing within the Minimal Supersymmetric Standard Model. We work under the model-independent hypothesis of general flavor mixing in the slepton sector, being parametrized by a complete set of dimensionless δABij (A,B = L,R; i,j = 1, 2, 3) parameters. The present upper bounds on the most relevant LFV processes, together with the requirement of compatibility in the choice of the MSSM parameters with the recent LHC and (g-2) data, lead to updated constraints on all slepton flavor mixing parameters, and a comparative discussion of the most effective LFV processes to constrain the various generation mixings. We study also the non-decoupling behavior with mSUSY of some indirect SUSY observables, in particular we focus on the LFV decays of the three neutral MSSM Higgs bosons h, H, A→τμ, considering the four types of slepton mixing (δLL23, δLR23, δRL23, δRR23). We show the expected measurable events for some of these channels at the present and future LHC stage.