Issue ownership means that some parties are considered by the public at large as being more able to deal with, or more attentive to, certain issues. The theory has been used to explain both party behaviour - parties are expected to focus on owned issues - and voter behaviour - when a voter considers a party to own an issue, this affects the odds of voting for that party. The purpose of this article is, first, to provide a look backward at the existing research through a literature review of the studies that were conducted in the past decade-and-a-half. Secondly, it takes stock of the current conceptualisation and argues that issue ownership is a multidimensional concept. Thereafter the article discusses how this multidimensionality affects both the role of issue ownership in voter and in party behaviour. Finally, the article outlines a number of shortcomings of the extant literature and discusses potential avenues for future research.