In essence, an information-centric network (ICN) is one which supports a content request/reply model. One proposed benefit of this is improved mobility. This can refer to provider, consumer or content mobility. Despite this, little specific research has looked into the effectiveness of ICN in this regard. This paper presents a survey of some of the key ICN technologies, alongside their individual approaches to mobility. Through this, we highlight some of the promising benefits of ICN, before discussing important future research questions that must be answered.