In this paper, we study the charged and uncharged BTZ counterpart of the
Black-Bounce proposed by Simpson and Visser recently. For the uncharged case,
we find that the temperature is not modified by the bounce parameter. We also
find that the wormhole side of the solution must always be supported by exotic
matter over the throat. For the charged case we find that the thermodynamics is
changed and the bounce parameter enlarges the region of stability. For both
cases, we find that there are no stable orbits.