  Compact binary systems can provide us with unique information on
astrophysical particle acceleration and cosmic ray production. However, only
five binary systems have ever been observed in TeV $\gamma$ rays. The High
Altitude Water Cherenkov (HAWC) Observatory has high uptime (duty cycle
$>95\%$) and a wide field of view (2 sr), making it well-suited for observing
transient sources such as binaries. Using two years of data from HAWC, we have
searched for TeV emission from three known TeV binary systems in the field of
view and twenty-eight TeV binary candidates. We have searched the HAWC data for
evidence of orbital modulation or flares from these objects, and report
estimates of their $\gamma$-ray flux.

High Energy Astrophysical Phenomena;High Energy Physics - Experiment