It is v unlikely that field-level permissions will be implemented any time soon (if ever) but your case would indeed seem to be largely covered by the existing permissions model - you can choose which databases (and now, which entities) any given user can see, so your ops people can be configured to not see the Finance db, your finance people can be configured to not see Operations db, and so on.
In terms of general configuration of which fields are shown and where, then potentially this is a relevant topic: