In the three years following the discovery of PSR J2051-0827, we have obser
ved a large number of eclipse traverses over a wide frequency range. These
data show that the pulsar usually undergoes complete eclipse at frequencies
below 1 GHz. At higher frequencies the pulsar is often detected throughout
this low-frequency eclipse region with pulse times of arrival being signif
icantly delayed relative to the best-fitting timing model. Variability in t
he magnitude of the delay is clearly seen and occurs on time-scales shorter
than the orbital period. Simultaneous dual frequency observations highligh
t the difference in the eclipse behaviour for two widely separated frequenc
ies. The low-frequency eclipses are accompanied by a significant decrease i
n pulsed flux density, while the flux density variations during higher freq
uency eclipses are not well defined. We consider a number of eclipse mechan
isms and find that scattering and cyclotron absorption in the magnetosphere
of the companion are consistent with the phenomena presented here.