Dreaming of a gargoyle means you know of some incident that cannot be revealed to the public. Whenever it tries to surface into the light, people involved tends to make it hidden again. Dealing with such a difficult situation is disheartening, and can continue to drain you of your energies until you too become part of the problem.
Set yourself free by distancing yourself from the issue, as if you have absolutely no more involvement in it because it is beyond your control. Your dreams then will be clear of any gargoyles.