It has been clearly shown that mHealth solutions deliver more patient-focused healthcare and improve the overall efficiency of healthcare systems. In addition, these solutions can potentially reduce the cost of providing healthcare in the context of the increasing demands of the ageing populations in advanced economies. These solutions can also play an important part in intelligent environments, facilitating real-time data collection and input to enable various functionalities. However, there are various challenges regarding the development of mHealth solutions: the most important of these being privacy and data security. Furthermore, the use of Cloud Computing is becoming an option for the healthcare sector to store healthcare data; but storing data in the Cloud raises serious concerns. This paper discusses issues related to managing mHealth data in this new context including challenges, security frameworks and requirements, and possible solutions.