'The smallest element' of consciousness implies that it is indivisible.
Can that consciousness produce another consciousness? Then, would that be the smallest element?
Suppose the smallest element of consciousness in the material brain of a 'person A' is discovered. Can't the 'person A' produce another 'person B' having consciousness? What would Neuroscience say about consciousness of a virus...? All these imply that something is missing. So this kind of discoveries are irrational.
To clarify your idea you used:
experience the matter of experience....eye trying to see itself.....point of finger trying to point to itself....hammer trying to hammer
Must consciousness be there -- 'behind' all these kind of ideas, i.e., experience, vision, direction and force (i.e., the ideas you used in these examples)? You can ask yourself this question also--"Does consciousness have any particular direction/s?" So, consciousness is not like other 'knowledges'. We don't even know that we are (helplessly) forgetting the fact that consciousness is behind these studies about consciousness.
"Can a tool use itself?"
Though I don't like to use the word 'tool', for answering your question I would say, "Yes, it was/is possible to those who followed/follow the path of Advaita." (Or who pursued the Ultimate Truth without knowing about this Philosophy) Otherwise there wouldn't be the usage 'Advaita' in this world. In other words, you can't deny this by saying "No".
So isn't there a flaw in experience trying to experience itself?
Since you can't deny the main question, by this question, you are implying the influence of 'Maya'--the term commonly used in Advaita.
You will get some more explanations here: