  In this work, we investigate the quantum chaos in various $T\bar{T}$-deformed
SYK models with finite $N$, including the SYK$_4$, the supersymmetric SYK$_4$,
and the SYK$_2$ models. We numerically study the evolution of the spectral form
factor (SFF), the out-of-time ordered correlator (OTOC), and the Krylov
complexity. We find that the characteristic evolution of the SFF, OTOC and
K-complexity of both the SYK$_4$ and SSYK$_4$ models remains unchanged under
the deformation, which implies that the properties of quantum chaos is
preserved. We also identify a many-body localization behavior in the deformed
SYK$_2$ model.
