  The possibility of an anomalous coupling between the top and charm quarks and
the gluon field is explored in a model-independent way using an effective
Lagrangian that is gauge-invariant under a non-linear realization of SU(3)$_{C}
\times$ SU(2$)_{L} \times$ U(1$)_{Y}$. Even for the current 200 $pb^{-1}$ of
integrated luminosity at the Tevatron, the new physics scale that strongly
modifies the coupling of t-c-g must be larger than about 2.5 TeV if no signal
is found within a 3$\sigma$ confidence limit. For 1 $fb^{-1}$ of data, this
constraint can be pushed up to 3.8 TeV.
