  We explore the influence of an anomalous chromomagnetic moment, $\kappa$,
onthe production characteristics of top quark pairs at the Tevatron. We find
that for top quarks in the 170 GeV mass range, present searches are probing
values of $\kappa$ of order ${1 \over 3}$. For $\kappa$'s in this range we find
that significant enhancements in the both the $q \bar q,~gg \to t \bar t$
production cross sections are obtained. Once top has been verified and QCD
uncertainties are under control, future high statistics measurements at the
Tevatron will eventually be sensitive to values of $\kappa$ with magnitudes
smaller than 0.10-0.15. We discuss a class of scalar technicolor models which
may produce large values of $\kappa$ in conjunction with generation of $m_t$.
