We explore the role of irregularity in sound change in signed and spoken languages. While all historical phonologists accept some kinds of irregularity in spoken language sound change, a full, rigorous accounting of where and why we find it has been harder to come by. We draw on the foundations of signed language sound change laid by Law, Power, and Quinto-Pozos to address this with a focus on irregularity. We begin to develop concrete parallels to irregularity in spoken language sound change, such as proposals for lexical diffusion. Throughout, we pay heed to where differences in modality do and do not make a difference.