Graduate employability is a key issue for Higher Education Institutions (HEIs), academic faculty and of course for students themselves. It is recognised that to be employable graduates require both discipline specific skills/knowledge and more generic skills for employment. A key step to the development of the latter is an understanding of their significance on the part of those designing courses and the students who take them. Here we compare the perceived importance of key skills from the perspective of teachers, current students and recent graduates. We find that the three groups differ in the relative importance they ascribe to several key skills. Staff rated all skills as being important and saw many as being more important than did their students. With hindsight, graduates prioritized skills that were not seen as being very important by current students. As a result of our synthesizing the views of current undergraduates, employed graduates and lecturing staff, we recommend that proper signposting of the significance of key skills to students is vital.