  The Tevatron and the Next Linear Collider(NLC) will be excellent tools for
probing the detailed nature of the top quark. We perform a preliminary
examination of the influence of an anomalous chromomagnetic moment for the top,
$\kappa$, on the characteristics of $t\bar t$ production at the Tevatron and on
the spectrum of gluon radiation associated with $t\bar t$ production at the
NLC. In particular, we analyze the sensitivity of future data to non-zero
values of $\kappa$ and estimate the limits that can be placed on this parameter
at the Tevatron and at the NLC with center of mass energies of $\sqrt {s}=$ 500
and 1000 GeV. Constraints on $\kappa$ from low energy processes, such as
$b\rightarrow s\gamma$, are briefly discussed.
