  We present the star cluster catalogs for 17 dwarf and irregular galaxies in
the $HST$ Treasury Program "Legacy ExtraGalactic UV Survey" (LEGUS). Cluster
identification and photometry in this subsample are similar to that of the
entire LEGUS sample, but special methods were developed to provide robust
catalogs with accurate fluxes due to low cluster statistics. The colors and
ages are largely consistent for two widely used aperture corrections, but a
significant fraction of the clusters are more compact than the average training
cluster. However, the ensemble luminosity, mass, and age distributions are
consistent suggesting that the systematics between the two methods are less
than the random errors. When compared with the clusters from previous dwarf
galaxy samples, we find that the LEGUS catalogs are more complete and provide
more accurate total fluxes. Combining all clusters into a composite dwarf
galaxy, we find that the luminosity and mass functions can be described by a
power law with the canonical index of $-2$ independent of age and global SFR
binning. The age distribution declines as a power law, with an index of
$\approx-0.80\pm0.15$, independent of cluster mass and global SFR binning. This
decline of clusters is dominated by cluster disruption since the combined star
formation histories and integrated-light SFRs are both approximately constant
over the last few hundred Myr. Finally, we find little evidence for an
upper-mass cutoff ($<2\sigma$) in the composite cluster mass function, and can
rule out a truncation mass below $\approx10^{4.5}$M$_{\odot}$ but cannot rule
out the existence of a truncation at higher masses.
