FCNC top decays are very strongly suppressed in the Standard Model. Observation of any such decay would be a direct signature of the physics beyond SM. Many "new physics" scenarios predict new contributions to FCNC processes and the largest engancement is in most cases expected for t->cH decay. Enhancements for the decay channel t->c gamma are more modest, but the decay has a clearly identifiable kinematic signature. Also considered is the exotic decay scenario t->c+missing energy. Prospects for measuring these decays at CLIC running at 380 GeV were studied with full detector simulation, taking luminosity distribution, beam polarization and beam induced background into account.