Allometric growth refers to the disproportionate changes in a characteristic as an organism grows and has often been examined in elasmobranchs in the context of length-weight relationships. However, in recent years, there has been a shift to examining allometric growth in the morphology of these animals. Such examinations can provide insights into how particular morphological traits change in proportions during ontogeny and whether this relates to the species’ ecology. Most studies on sharks, however, have focussed on species with a stereotypical shark body plan or those which are large-bodied, leaving much of the diversity in shark morphology and body size unexplored. Here, we investigate allometric growth in the common sawshark (Pristiophorus cirratus), a species of small-bodied shark with an unusual morphology. Traditional linear morphometric data collected from various regions of the shark’s body show that growth in this species comprises a combination of isometric (proportional) and allometric growth, and that the direction and presence of allometry can differ between the sexes. We discuss potential ecological reasons for the observed scaling trends in the sawshark body plan. These findings help provide further insights into the ecology of sawsharks and add new information to the knowledge base of allometric growth in sharks from a morphologically unique group.