We present a catalogue of galaxies in Abell 3653 from observations made with the 2-degree field (2dF) spectrograph at the Anglo-Australian Telescope. Of the 391 objects observed, we find 111 are bona fide members of Abell 3653. We show that the cluster has a velocity of cz = 32 214 A? 83 km s -1 (z = 0.10 738 A? 0.00 027), with a velocity dispersion typical of rich, massive clusters of I?cz = 880 -54+66. We find that the cD galaxy has a peculiar velocity of 683 A? 96 km s-1 in the cluster rest frame - some 7sigma; away from the mean cluster velocity, making it one of the largest and most significant peculiar velocities found for a cD galaxy to date. We investigate the cluster for signs of substructure, but do not find any significant groupings on any length scale. We consider the implications of our findings on cD formation theories.