Heavy-flavor physics at the Tevatron

The CDF and D0 experiments at the Fermilab Tevatron protonantiproton collider have been producing world's leading results on many interesting heavy- flavor physics topics. We report here three recent CDF results on B-s(0) meson dynamics. An updated search for ultra rare B-s(0) meson decays into dimuon final states and new bounds on the B-s(0) mixing phase and decay-width difference using B-s(0) -> J/psi phi decays are summarized, both based on the whole Run II dataset corresponding to 10 fb(-1). A new measurement of the branching fractions of the B-s(0) -> Ds(*)+Ds(*)- decays uses 6.8 fb(-1) of data is also reported.