Previous research has found that there is a good deal of stability in departmental prestige, but has not considered its long-term dynamics. This paper investigates a hypothesis implied by some accounts in the sociology of science and organizational theory: that there will be a permanent component of prestige associated with the department or university. The data are the ratings of graduate departments of sociology between 1965 and 2007 using a measure of prestige constructed from hiring patterns. There is no evidence of a permanent component for individual departments, but there is evidence of a permanent difference between departments in "elite" universities and those in other universities. Despite change in rankings within each group, the difference between the groups remained constant over the period. That is, there appear to be enduring barriers that limit the mobility of individual departments.