If you select this option, cloudHQ will replicate sharing metadata (if possible). In other words, if you sync two cloud accounts, and you shared a folder in one cloud account, cloudHQ will share that folder also to the other synced cloud service.
For example, let’s suppose you have a sync pair like this:
Google Drive/Folder_X -> Box/Folder_Y
If the option “Replicate sharing meta-data for files I own” is enabled, and you share a folder Folder_X/ in Google Drive with user email@example.com, cloudHQ will also share the same folder in Box, so folder Folder_Y/ will be also shared with user firstname.lastname@example.org in Box.
Replication of permissions in this example will work if you have cloudHQ appropriately configured on your Office365 and Box domain.