  Within 2+1-dimensional cosmological new massive gravity, we consider
thin-shell and thin-shell wormhole construction. For this, we introduce first,
the junction conditions apt for the fourth order terms in the action of the
theory. Then, by employing some specific static solutions in new massive
gravity, we study the characteristics of associated thin-shells and thin-shell
wormholes. Our finding suggests that, firstly, there cannot exist any
thin-shells regarding our chosen solutions of cosmological new massive gravity,
and secondly, the constructed thin-shell wormhole does not need to be
symmetric. More importantly, the thin-shell wormhole, if ever forms, possesses
null energy density and null angular pressure on its throat which preferable to
their negative-valued counterparts.
