It's not always you feel comfortable staying Public all the time on Social Networking Sites. Sometimes it is annoying and you may want to put some restrictions on your photo visits, profile image and wall post clicks.
Let Anyone 'Not' Click Your Profile Image In Facebook.
Go to Facebook and Login
Click on Your Profile Photo > Click Again on your Profile Image
On the next settings, again Click on your Profile Image.
See below interface.
In the Image detailed View Pan, Click on the Globe Tab and edit settings.
Select "Only Me" option in the wrench menu icon and your Profile Image must be Non-Clickable to others.
That's It! Your Profile image is set to private.