  Exotic decays of top partners in new bosons are the norm in realistic models
of a composite Higgs. We focus on the custodial charge-$5/3$ partner, which
normally decays exclusively into $tW^+$. The new channels include a
colour-sextet, $X_{5/3} \to \bar{b} \pi_6$, as well as singly and doubly
charged scalars, $X_{5/3} \to t \phi^+$, $b \phi^{++}$. We use existing
same-sign lepton searches to show that the new final states are constrained at
the same level as the standard one. At the same time, exotic final states also
offer opportunities for improvement: examples include a hard photon in
$X_{5/3}\rightarrow t\phi^+\rightarrow tW^+\gamma$ decays, and top-rich
channels which arise in several exotic $X_{5/3}$ decays.
