Computational SSH research paradigms have introduced new challenges for the realisation of data-subject privacy. Ensuring the privacy of subjects is a key concern in research ethics. This chapter details some of the privacy challenges computational SSH raises in the context of research ethics and how researchers are rising to meet these challenges. It offers a theoretical framework to think through these challenges by providing a definitional overview of privacy, contextualizing privacy against cornerstone principles for the ethical conduct of research, and reviewing ways researchers can proactively identify privacy-oriented ethics considerations in their own practices.