Much scientometric research aims to be relevant to policy, but such research only rarely has a notable policy impact. In this paper, we examine four exemplary cases of policy impact from quantitative studies of science. The cases are analyzed in light of lessons learned about the use of evidence in policy making in health services, which provides very thorough explorations of the problems inherent in policy use of academic research. The analysis highlights key dimensions of the examples, which offer lessons for those aspiring to influence policy with quantitative studies of science.