  We investigate near-horizon geometry of the rotating Ba\~nados Teiteilboim
Zanelli (BTZ) black hole with torsion. Our main motivation is to gain insight
into the role of torsion in the near-horizon geometry, which is well understood
in the Riemannian case. We obtain that near-horizon geometry represents a
generalization of AdS self-dual orbifold with non-trivial torsion. We analyze
its asymptotic structure and derive the corresponding algebra of asymptotic
symmetries, which consists of chiral Virasoro and centrally extended $u(1)$
Kac-Moody algebra.
