We report on 5.4 yr of phase-coherent timing, using the Rossi X-ray Timing Explorer, of the X-ray pulsar 1RXS 1708-4009, a member of the class known as ``anomalous X-ray pulsars.'' This object exhibited a rotational glitch in 1999. Here we report a second much larger rotational glitch which occured ~1.5 yr after the first. We show that the recoveries from the two glitches are different, with the first showing only a possible slow, approximately linear recovery, while the second showed a nearly complete recovery on a time scale of \~50 days. The approximately exponential recovery time scale of the second glitch is similar to that seen recently in 1E 2259+586 at the time of a major outburst. This suggests 1RXS 1708-4009 undergoes similar bursting behavior, although with our sparse observations we have detected no other evidence for bursts from this source.

13 pages, 2 figures. Revised manuscript and Fig 1 following refereeing. Accepted for publication in ApJL Aug 15