In this review article, we discuss and analyze the validities of centrifugal sudden (CS) approximations in chemical reactions, with emphasis on the recent progress in the comparison studies of close-coupling and CS approximations in chemical dynamics both adiabatically and nonadiabatically. All these relevant studies are performed using the time-dependent wave packet approach, focusing on several typical and benchmark chemical reactions, for example, the triatomic adiabatic ionmolecule reactions of Ne