  We reconsider the prospects for observing a dimension-6, CP-violating
operator involving $W^+W^-Z$ at the LHC. Firstly, we correct a number of
earlier calculations of the loop contribution to the neutron electric dipole
moment of a companion operator, involving $W^+W^-\gamma$, showing that
measurements imply a very strong bound on the companion operator. Secondly, we
quantify the link between the two operators, showing that strongly-coupled new
physics could only be observable in proposed searches if it appeared at a scale
below $\sim 170$ GeV. This is most unlikely, given the null results of other
searches at the LHC and elsewhere.
