  It has been claimed that in a test of an asymptotically AdS version of weak
cosmic censorship conjecture by attempting to overspin a BTZ black hole with
test particles, one finds that it is not possible to spin-up the black hole
past its extremal limit. The result of this analysis is restricted to the case
where the initial black hole is extremal. We extend this analysis to find that
massive test particles can overspin the black hole, if we start with a nearly
extremal black hole, instead. We also consider the interaction of the BTZ black
hole with test fields. We show that overspinning of nearly extremal black holes
is possible whether or not there is superradiance for the field. If there is
superradiance, overspinning occurs in a narrow range of frequencies bounded
below by the super-radiant limit. However, if there is no superradiance for the
field, overspinning becomes generic and also applies to extremal black holes.
This is in analogy with the Kerr case.
