Upon leaving the army Wimberley became principal of University College, Dundee, which was at the time a constituent college of the University of St Andrews. The University of St Andrews, steeped in tradition and jealous of its academic reputation refused to allow the academic expansion of its sister college which led to agitation in Dundee for the independence of the Dundee College. Wimberley attempted to expand University College whilst at the same time not undermining the parent University, and its principal, James Irvine.