SANsymphony snapshots are always created on one side only. However, SANsymphony allows you to create a snapshot for the data on each side by configuring two snapshot schedules, one for the local volume and one for the remote volume. Both snapshot entities are independent and can be deleted independently allowing different retention times if needed.
There is also the capability to pair the snapshot feature along with asynchronous replication which provides you with the ability to have a third site long distance remote copy in place with its own retention time.