  We investigate the plausibility of a cometary source of the unusual transits
observed in the KIC 8462852 light curve. A single comet of similar size to
those in our solar system produces a transit depth of the order of $10^{-3}$
lasting less than a day which is much smaller and shorter than the largest dip
observed ($\sim20\%$ for $\sim3$ days), but a large, closely traveling cluster
of comets can fit the observed depths and durations. We find that a series of
large comet swarms, with all but one on the same orbit, provides a good fit for
the KIC 8462852 data during Quarters 16 and 17, but does not explain the large
dip observed during Quarter 8. However, the transit dips only loosely constrain
the orbits and can be fit by swarms with periastrons differing by a factor of
10. To reach a transit depth of $\sim0.2$, the comets need to be in a close
group of $\sim30$, if they are $\sim100$ km in radius or in a group of
$\sim300$ if they are $\sim10$ km in radius. The total number of comets
required to fit all of the dips is $\sim70$ $\sim$100 km or $\sim700$ $\sim10$
km comets. A single comet family from a tidally disrupted Ceres-sized
progenitor or the start of a Late Heavy Bombardment period explains the last
$\sim60$ days of the unusual KIC 8462852 light curve.
