  We conduce a study to probe the sensitivity of the process $e^+e^-\rightarrow
(\gamma, Z) \to \nu_\tau \bar \nu_\tau \gamma$ to the total cross section, the
magnetic moment and the electric dipole moment of the tau-neutrino in a
model-independent way. For this study, the beam polarization facility at the
Compact Linear Collider (CLIC) along with the typical center-of-mass energies
$\sqrt{s}=380-3000\hspace{0.8mm}GeV$ and integrated luminosities ${\cal
L}=10-3000\hspace{0.8mm}fb^{-1}$ is considered. We estimate the sensitivity at
the $95\%\hspace{1mm}$ Confidence Level (C.L.) and systematic uncertainties
$\delta_{sys}=0, 5, 10\hspace{1mm}\%$ on the dipole moments of the
tau-neutrino. It is shown that the process under consideration
$e^+e^-\rightarrow (\gamma, Z) \to \nu_\tau \bar \nu_\tau \gamma$ is a good
prospect for study the dipole moments of the tau-neutrino at the CLIC. Also,
our study illustrates the complementarity between CLIC and other $e^+e^-$ and
$pp$ colliders in probing extensions of the Standard Model, and shows that the
CLIC at high energy and high luminosity provides a powerful means to
sensitivity estimates for the electromagnetic dipole moments of the
tau-neutrino.
