After teaching social anthropology at the University of Zimbabwe in 1963–1964 and sociology at the University of Ibadan in 1965–1967, Finnegan joined the Open University in 1969 as one of the founding members of academic staff.[1] She was a lecturer in sociology there until 1972, became reader in comparative social institutes in 1982 and then professor in 1988.[5] Finnegan was a visiting professor in anthropology at the University of Texas at Austin in 1989.