We report on a new Chandra exposure of PSR J1809 - 2332 , the recently discovered pulsar powering the bright EGRET source 3EG J1809 - 2328 . By registration of field X-ray sources in an archival exposure , we measure a significant proper motion for the pulsar point source over an \approx 11 year baseline . The shift of 0.30 \pm 0.06 \arcsec ( at PA = 153.3 \pm 18.4 ) supports an association with proposed SNR parent G7.5 - 1.7 . Spectral analysis of diffuse emission in the region also supports the interpretation as a hard wind nebula trail pointing back toward the SNR .