  We investigate bouncing scenario in the modified $f(T)$ gravity, $T$ being
the torsion scalar. Attention is attached to the reconstruction of $f(T)$ able
to describe type IV singular bouncing evolution, where we adopt as assumption
that the bouncing and type IV singularity points coincide. In the context of
the reconstructed $f(T)$ model we calculate the Hubble slow-roll parameters in
order to determine the dynamical evolution of the cosmological system under
study. The results show that the Hubble slow-roll parameters become singular at
the type IV singularity indicating a dynamical instability. Moreover we perform
the stability analysis of the $f(T)$ gravity solution where, according to the
obtained result, the type IV singularity point is a saddle point in agreement
with the bounce scenario.
