  By making use of the sub-arcsecond angular resolution of the High Resolution
Camera (HRC-I) aboard the Chandra X-ray satellite we have examined the central
compact object RX J0822-4300, in the supernova remnant Puppis-A for a possible
proper motion. Using data which span an epoch of 1952 days we found the
position of RX J0822-4300, different by $0.574\pm0.184$ arcsec, implying a
proper motion of $\mu=107.49\pm34.46$ mas/yr. For a distance of 2.2 kpc, this
proper motion is equivalent to a recoil velocity of $1121.79\pm 359.60$ km/s.
The position angle is found to be $241^\circ \pm 24^\circ$. Since both the
magnitude and direction of the proper motion are in agreement with the birth
place of RX J0822-4300, being near to the optical expansion center of the
supernova remnant, the result presented in this letter is a promising
indication of a fast moving compact object in a supernova remnant. Although the
positional shift inferred from the current data is significant at a
$\sim3\sigma$ level only, one or more future HRC-I observations can obtain a
much larger positional separation and further constrain the measurement.
