  We study biased random walk on the infinite connected component of
supercritical percolation on the integer lattice $\mathbb{Z}^d$ for $d\geq 2$.
For this model, Fribergh and Hammond showed the existence of an exponent
$\gamma$ such that: for $\gamma<1$, the random walk is sub-ballistic (i.e. has
zero velocity asymptotically), with polynomial escape rate described by
$\gamma$; whereas for $\gamma>1$, the random walk is ballistic, with non-zero
speed in the direction of the bias. They moreover established, under the usual
diffusive scaling about the mean distance travelled by the random walk in the
direction of the bias, a central limit theorem when $\gamma>2$. In this
article, we explain how Fribergh and Hammond's percolation estimates further
allow it to be established that for $\gamma\in(1,2)$ the fluctuations about the
mean are of an anomalous polynomial order, with exponent given by
$\gamma^{-1}$.
