Administrator should create first a Level 7 user in order to restrict the lead exports.
Click Here on How to Create a User Level 7.
Step 1: Log in to the URL http://admin.safesoftslutions.com using your Admin credentials.
Step 2: Click on the tab Users and then, Show Users.
Step 3: Click on the pencil icon Settings for your User level 7.
Step 4: Scroll down to the Admin Interface Options section and then, click on the Advanced Administrative Permission button.
Step 5: Go to the Section of List Access and select the list that you ONLY want to give access to your User thus giving permission to export the leads. After that, click on Save Permission button.
Step 6. Click on the Save Changes button to completely apply the changes.
NOTE: If you want to completely restrict the ability of the your User level 7 to export a leads, you need to create an empty list first and then, select that list from the List Access under the Advanced Administrative Permission for that specific user.