Eye dominance, the tendency to prefer to process visual input from one eye over the other, is a little discussed topic in iris biometrics. It has been seen in experiments that one eye tends to have improved performance over the other. One possible cause of this variation in performance could be the distribution of eye dominance among the subject population. In this paper we explore the effects of eye dominance on iris recognition. We also show how eye dominance can be used to guide the development of a single-eye recognition system. An exploration of the correlation between eyedness and handedness is also presented.