PurposeThe purpose of this paper is to improve the understanding of cloud service users’ privacy concerns, which are anticipated to considerably hinder cloud service market growth. The researchers have explored privacy concerns from dimensions that were identified as relevant in the cloud context.Design/methodology/approachContent analysis was used to identify privacy problems that were most often raised in previous cloud research. Multidimensional developmental theory (MDT) was used to build a conceptual model of cloud privacy concerns. Literature review was made to identify the privacy-related constructs used to measure privacy concerns in previous cloud research.FindingsThe paper provides systematization of recent cloud privacy research, proposal of a conceptual model of cloud privacy concerns, identification of measuring instruments that were used to measure privacy concerns in previous cloud research and identification of categories of problems that need to be addressed in future cloud research.Originality/valueThis paper has identified the categories of privacy problems and dimensions that have not yet been measured in the cloud context, to the best of the authors’ knowledge. Their simultaneous examination could clarify the effects of different dimensions on the privacy concerns of cloud users. The conceptual model of cloud privacy concerns will allow cloud service providers to focus on key cloud problems affecting users’ privacy concerns and use the most appropriate privacy protection communication and preservation approaches.