Saint Anselm, abbot of Bec Abbey in Normandy and later to be Archbishop of Canterbury, apparently visited the shrine of St Neot in 1078-9.
At some point, quite possibly at the time of its re-foundation as a Benedictine priory, the monastery moved to a site on the riverside adjacent to a ford subsequently replaced by a bridge, a little way north of the present Market Square.
Because it was an alien priory (i.e., the dependency of a French mother-house) it suffered difficulties whenever there were hostilities between France and England, and particularly during the Hundred Years' War.
Its property was continually seized for this reason, until like certain other alien priories it was eventually given its independence from Bec in 1409 by the quasi-naturalisation process known as denization.
The Dissolution commissioners had instructions to "pull down to the ground all the walls of the churches, stepulls, cloysters, fraterys, dorters, chapter howsys"[2] and all the rest.