Increasingly, technologies are being designed to support refugees. While HCI research has explored several aspects of refugee experiences, the importance of embedding the principle of dignity within technological designs is yet to be explored. In this paper we focus on the theme of dignity that was a prominent theme across three research projects we conducted with Syrian refugee communities in Lebanon. We show that the experiences of refugee participants are characterised by a loss of dignity, as well as by attempts to maintain dignity that may be mediated by technology. By highlighting the value given to dignity by our participants we emphasise the need for designers and HCI researchers to consider how technologies may create a space in which dignity is maintained and dignified interaction may take place.