  We present Chandra observations of the galaxy cluster A4059. We find strong
evidence that the FR-I radio galaxy PKS 2354-35 at the center of A4059 is
inflating cavities with radii ~20 kpc in the intracluster medium, similar to
the situation seen in Perseus A and Hydra A. We also find evidence for
interaction between the intracluster medium and PKS 2354-35 on small scales in
the very center of the cluster. Arguments are presented suggesting that this
radio galaxy has faded significantly in radio power (possibly from an FR-II
state) over the past 10^8 yrs.
