The totally asymmetric exclusion process (TASEP) is one of the solvable models in the KPZ universality class. When TASEP starts with certain initial conditions, it presents shocks in the evolution. Particles near the shocks have fluctuations on the $t^{1/3}$ scale. For one type of initial condition, the fluctuations are known to be on the $t^{1/2}$ scale due to the initial randomness. In this talk, I will describe how to see the $t^{1/3}$ fluctuations for these initial conditions.