This query returns the date/time FCs being synced in last 10 days,
SELECT
GPReplicaDataset.value('DatasetName[1]', 'nvarchar(max)') AS 'Feature Class',
CAST(replicalog.LogDate AS smalldatetime) AS 'Sync Time'
FROM
sde.GDB_ITEMS AS items
INNER JOIN sde.GDB_ITEMTYPES AS itemtypes
ON items.Type = itemtypes.UUID
INNER JOIN sde.GDB_REPLICALOG AS replicalog
On items.ObjectID = replicalog.ReplicaID
CROSS APPLY
items.Definition.nodes
('/GPReplica/GPReplicaDescription/GPReplicaDatasets/GPReplicaDataset')
AS GPReplicaDatasets(GPReplicaDataset)
WHERE
itemtypes.Name = 'Replica'
AND ( GETDATE() - replicalog.LogDate ) < 10
ORDER BY 'Feature Class', 'Sync Time' ;
GO