  We introduce a new spin-squeezing technique that is a hybrid of two well
established spin-squeezing techniques, quantum nondemolition measurement (QND)
and one-axis twisting (OAT). This hybrid method aims to improve spin-squeezing
over what is currently achievable using QND and OAT. In practical situations,
the strength of both the QND and OAT interactions is limited. We found that in
these situations, the hybrid scheme performed considerably better than either
OAT or QND used in isolation. As QND and OAT have both been realised
experimentally, this technique could be implemented in current atom
interferometry setups with only minor modifications to the experiment.
