  For any continuous self-map of a compact metric space, we consider the space
of chain components and prove that the s-limit shadowing implies the denseness
of chain components with the shadowing property. It gives a partial answer to a
question raised by Moothathu [Topology Appl. 158 (2011) 2232--2239]. We also
prove that the s-limit shadowing is not generic in the space of homeomorphisms
of a closed differentiable manifold.
