  Searches for gravitational waves from compact-binary mergers, which to date
have reported $\sim100$ observations, have previously ignored binaries whose
components are both consistent with the mass of neutron stars $(1 M_\odot$ to $
2 M_\odot)$ and have high dimensionless spin $>0.05$. While previous searches
targeted sources that are representative of observed neutron star binaries in
the galaxy, it is already known that neutron stars can regularly be spun up to
a dimensionless spin of $\sim0.4$, and in principle reach up to $\sim0.7$
before breakup would occur. Furthermore, there may be primordial black hole
binaries or exotic formation mechanisms to produce light black holes. In these
cases, it is possible for the binary constituent to be spun up beyond that
achievable by a neutron star. A single detection of this type of source would
reveal a novel formation channel for compact-binaries. To determine if there is
evidence for any such sources, we use PyCBC to conduct a targeted search of
LIGO and Virgo data for light compact objects with high spin. Our analysis
detects previously known observations GW170817 and GW200115; however, we report
no additional mergers. The most significant candidate, not previously known, is
consistent with the noise distribution, and so we constrain the merger rate of
spinning light binaries.
