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 \(m_t\).