The Covid-19 pandemic has plunged society into one of the greatest crises in recent history. Besides all the negative impacts, however, this pandemic is also driving developments that had previously been tackled rather half-heartedly. Cloud adoption is a good example of this dynamic. The fast deployment of cloud services raises questions about what cloud compliance standards companies can and should comply with internally for private clouds as well as for public cloud deployment. In this Expert View, we focus on the most important organizations that develop cloud compliance standards, i.e. organizations a company should follow, and on widely used cloud compliance standards, i.e. standards a company might want to comply with, and require its service providers to comply with, too.