[SalesForce] Restrict a User to export data

The help says that the profile needs the 'Data Export' permission, but unfortunately there isn't a permission with that name. There is, however, a 'Weekly Data Export' permission - if you enable that permission for the custom profile, that will allow access to the Data Export setup option.

One point to note, from the help:

Users with the “Data Export” permission can view all exported data and all custom objects and fields in the Export Service page. This permission is granted by default only to the System Administrator profile because it enables wide visibility.

Refer to Help and Training: https://help.salesforce.com/htviewhelpdoc?err=1&id=admin_exportdata.htm&siteLang=en_US

Frequency of export depends on your Edition:

Weekly export available in: Enterprise, Performance, and Unlimited Editions Monthly export available in: All editions, except for Database.com

Exports can be manual or automatic:

You can generate backup files manually once every six days (for weekly export) or 28 days (for monthly export). You can also schedule backup files to generate automatically at weekly or monthly intervals.