  We examine flavour-changing neutral-current decays of the top quark, $t\to q
\gamma$, $t \to qZ$, $t \to q H$, and $ t\to q g$ (with $q=u, c$), in the
Alternative Left-Right Model, a left right-symmetric model featuring exotic
quarks and light bosons. These decays have a very small probability of
occurring within the Standard Model, but they can be enhanced in this model
through the presence of the exotic states. While associated signals may be
detected directly at the LHC, rare decays have the advantage of offering means
to probe new particles indirectly, through loop-contributions. We perform a
comprehensive analysis of the model's parameter space to demonstrate the
possible existence of enhancements in the corresponding branching ratios, of
$10^6$ for the branching ratios $\mathcal{B}(t\to uZ)$ and $\mathcal{B}(t \to
uH)$, and in the range of $10^{2} - 10^{4}$ for the other decays, relative to
the Standard Model. We subsequently determine the preferred parameter space
regions of the model in terms of potential of being reached in the near future.
