  In this study we identify 11 Kepler systems (KIC 5255552, 5653126, 5731312,
7670617, 7821010, 8023317, 10268809, 10296163, 11519226, 11558882 and 12356914)
with a "flip-flop" effect in the eclipse timing variations O-C diagrams of the
systems, report on what these systems have in common and whether these systems
are dynamically stable. These systems have previously reported high eccentric
binary stars with highly eccentric third bodies/outer companions. We find that
all of the additional bodies in the system are dynamically stable for the
configurations previously reported and are therefore likely to exist as
described. We also provide additional evidence of KIC5255552 being a quadruple
star system comprised of an eclipsing binary pair and non-eclipsing binary pair
with the possibility of a fifth body in the system. With the advent of the NASA
TESS exoplanet survey, its precision photometric monitoring offers an
opportunity to help confirm more local eclipsing binary star companions,
including planets.
