  Based on the recently introduced black-bounce spacetimes, we shall consider
the construction of the related spherically symmetric thin-shell traversable
wormholes within the context of standard general relativity. All of the really
unusual physics is encoded in one simple parameter $a$ which characterizes the
scale of the bounce. Keeping the discussion as close as possible to standard
general relativity is the theorist's version of only adjusting one feature of
the model at a time. We shall modify the standard thin-shell traversable
wormhole construction, each bulk region now being a black-bounce spacetime, and
with the physics of the thin shell being (as much as possible) derivable from
the Einstein equations. Furthermore, we shall apply a dynamical analysis to the
throat by considering linearized radial perturbations around static solutions,
and demonstrate that the stability of the wormhole is equivalent to choosing
suitable properties for the exotic material residing on the wormhole throat.
The construction is sufficiently novel to be interesting, and sufficiently
straightforward to be tractable.
