  We have modelled the Zeno effect Control-Sign gate of Franson et al (PRA 70,
062302, 2004) and shown that high two-photon to one-photon absorption ratios,
$\kappa$, are needed for high fidelity free standing operation. Hence we
instead employ this gate for cluster state fusion, where the requirement for
$\kappa$ is less restrictive. With the help of partially offline one-photon and
two-photon distillations, we can achieve a fusion gate with unity fidelity but
non-unit probability of success. We conclude that for $\kappa > 2200$, the Zeno
fusion gate will out perform the equivalent linear optics gate.
