In supersymmetric theories gauge fermions and scalar quarks and leptons may radiatively induce neutral-flavor violation. Experimentally adequate suppression of these effects by the "super"Glashow-Iliopoulos-Maiani" mechanism constrains the masses, generational mass splittings, and mixing angles of the superpartners. We analyze the structure of these processes and examine the constraints placed on the superpartners by present, and potentially feasible, experimental limits on the rates for flavor-changing neutral processes.