Force Shared mailboxes or groups to be only accessible on web outlook in office 365 and not downloaded to outlook

We want a way to Force Shared mailboxes or groups to be only accessible on web outlook in office 365 and not outllook. As we are finding the OST file gets too big.

We have in the past added shared mailboxes as individual mail accoutns in outlook but this still causes the pcs to fill up with OST files and run out of space.

Does anyone know of a way to deal with a shared mailbox where users can forward emails or drag emails to which they can only access online?
David de la NougeredeITAsked:
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Andy MIT Systems ManagerCommented:
In the Outlook settings > Account Settings > More Settings > Advanced there's an option to uncheck for downloading shared folders (mailboxes) and public folders. If you have this unchecked on the corresponding machines it should help with OST size.

I'm not aware of any way to prevent access via Outlook to shared folders, user accounts you can but shared mailboxes I think it's only the reverse (stop access via OWA).
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