  In this paper, we study the spin chain and string excitation in the rotating
Rindler-$AdS_3$ proposed in [12]. We obtain a one-parameter deformed $SL(2)$
spin chain at the fast spin limit. Two-spin GKP-like solutions are studied at
short and long string limits. General ansatz for the giant magnons and the
spiky strings are analyzed in detail for various $\beta$. At last, we explore
its counterpart in analytic continuation and pp-wave limit.
