There is intense interest surrounding the use of gene editing nucleases in gene drive systems to control agricultural insect pests and insect vectors of infectious diseases such as malaria, dengue and Zika virus. While gene drive systems offer immense promise for the beneficial modification of deleterious insect populations, their unique mechanism of action also raises novel safety concerns and regulatory issues. A recent US National Academies of Science report provides a list of potential regulatory issues associated with implementation of homologous recombination (HR)-mediated gene drive systems, based on the premise that all such systems would exhibit similar biological behaviors. Here we examine how HR-mediated gene drive systems based on different gene editing nuclease platforms could be affected by mutations that occur during host cell transcription, genome replication, and, in conjunction with gene editing nuclease activity, during HR-mediated gene drive. Our analysis suggests that the same feature that makes RNA-guided nucleases such attractive research tools - their ease of reprogramming by alterations to their guide RNA components - might also contribute to increased rates of retargeting that could influence the long term behavior of RNA-guided gene drive systems. Predictability of behavior over time is an issue that should be addressed by in-depth risk assessment before field testing of organisms incorporating nuclease-mediated gene drives.