  We study the influence of Gribov copies, in the Landau gauge, on the lattice
renormalisation constant of the axial current, obtained from a Ward identity on
quark state correlation functions, with the Clover action, in quenched SU(3)
gauge theory. A comparison between the gauge invariant determination of the
renorma= lization constant and the gauge dependent one is discussed. We find
that the residual gauge freedom associated to Gribov copies induces observable
effects, which, at the level of numerical accuracy of our simulation, are
included in the statistical uncertainty inherent in a Monte Carlo simulation.
Doubling the statistics suggests that the fluctuation due to the lattice Gribov
ambiguity scales down at least as fast as a pure statistical error.
