A technique for accessing replicas of file systems generates a snap (point-in-time version) of a replica on a destination site and provides access to the snap for reading and/or writing while replication operations on the replica between a source site and the destination site continue to be performed. As the snap is a separate object from the replica itself, users may access the snap without affecting the replica or disturbing ongoing replication activities. Users can also mount the snap to perform destination-driven backup operations, to test disaster recovery, and/or to perform other activities.