The paper introduces the Clifford Circuits Augmented Time-Dependent Variational Principle (CA-TDVP), a method that enhances the simulation of time evolution in quantum many-body systems by augmenting the Time-Dependent Variational Principle (TDVP) with Clifford circuits. The authors generalize the recently proposed Clifford Circuits Augmented Matrix Product States (CA-MPS) to the TDVP framework, aiming to reduce entanglement entropy and increase simulation reliability for longer times. In CA-TDVP, Clifford circuits are applied to the resulting Matrix Product States (MPS) in each TDVP step, similar to the two-site sweeping process in Density Matrix Renormalization Group (DMRG). This approach effectively reduces the bond dimension required for accurate simulations, making it particularly useful for two-dimensional systems where MPS entanglement entropy is limited by the bond dimension. The method is tested on both the 1D XXZ chain and the 2D Heisenberg model. Results show that CA-TDVP can significantly reduce entanglement entropy during time evolution, primarily due to non-stabilizerness, and enable longer simulations with a reduced bond dimension compared to pure TDVP. The authors also discuss the potential applications of CA-TDVP in quench dynamics and finite-temperature simulations, suggesting further research directions.The paper introduces the Clifford Circuits Augmented Time-Dependent Variational Principle (CA-TDVP), a method that enhances the simulation of time evolution in quantum many-body systems by augmenting the Time-Dependent Variational Principle (TDVP) with Clifford circuits. The authors generalize the recently proposed Clifford Circuits Augmented Matrix Product States (CA-MPS) to the TDVP framework, aiming to reduce entanglement entropy and increase simulation reliability for longer times. In CA-TDVP, Clifford circuits are applied to the resulting Matrix Product States (MPS) in each TDVP step, similar to the two-site sweeping process in Density Matrix Renormalization Group (DMRG). This approach effectively reduces the bond dimension required for accurate simulations, making it particularly useful for two-dimensional systems where MPS entanglement entropy is limited by the bond dimension. The method is tested on both the 1D XXZ chain and the 2D Heisenberg model. Results show that CA-TDVP can significantly reduce entanglement entropy during time evolution, primarily due to non-stabilizerness, and enable longer simulations with a reduced bond dimension compared to pure TDVP. The authors also discuss the potential applications of CA-TDVP in quench dynamics and finite-temperature simulations, suggesting further research directions.