The growing interest in neoliberalism and neoliberalisation has produced a wave of academic production, but also criticisms toward these concepts. They concern the conditions under which they may actually work as both/either explanans and/or explanandum of transformations affecting contemporary societies. The main accusations made are presented and compared with the actual uses of these catego-ries, building above all on the applications made in the articles that follow in this special issue. It is argued that this pair of concepts may help to detect critical processes descriptively, but so far it has not been able to provide explanations. Working more as descriptors, or identifiers of processes and out-comes they, rather, provide indirect ...