  StrayCats, the catalog of NuSTAR stray light observations, contains data from
bright X-ray sources that fall within crowded source regions. These
observations offer unique additional data with which to monitor sources like
X-ray binaries that show variable timing behavior. In this work, we present a
timing analysis of stray light data of the high mass X-ray binary SMC X-1, the
first scientific analysis of a single source from the StrayCats project. We
describe the process of screening stray light data for scientific analysis,
verify the orbital ephemeris, and create both time and energy resolved pulse
profiles. We find that the orbital ephemeris of SMC X-1 is unchanged and
confirm a long-term spin up rate of $\dot{\nu}=(2.52\pm0.03)\times10^{-11}$ Hz
s$^{-1}$. We also note that the shape of SMC X-1's pulse profile, while
remaining double-peaked, varies significantly with time and only slightly with
energy.
