Sometimes you dont want to keep your profile picture clickable.There is a useful trick through which you can make your display pic un-clickable.By making your profile picture unclikable you can protect it from fake persons.Here are the steps to do this:
How to Do it:
Step1:Go to your Albums ->Profile Pictures
Step2: Select your current profile picture.
Step3: Adjust privacy setting to “Only Me”
So, That’s it. Now, if anyone will open your profile, he/she will not be able to click on your profile picture. But your profile picture can be saved by any one but can not be viewed on Facebook largely.
Update: This facility is now unsupported. Facebook team made a few changes. According to changes you can’t make a profile picture unclickable now but yes the comments and likes on the DP won’t be visible.