  We study in the effective Lagrangian approach the possibility of probing
anomalous top quark charged current couplings in the single top production at a
high energy e\gamma collider. We analyzed all possible dimension-six
CP-conserving operators which can give rise to an anomalous Wtb coupling which
represent new physics effect generated at a higher energy scale. For those
operators which also give rise to anomalous Zbb_bar or right-handed Wtb
couplings, we find that they are strongly constrained by the existing R_b and
b->s\gamma data. As a result, a collider with a luminosity of the order of 100
fb^{-1} is required to observe the anomalous effects. For other operators which
currently subject to no strong constraints, the high energy e\gamma collider
can probe their couplings effectively because of the clean environment of such
a collider.
