Question: Buddha talks of becoming have a cause, is dependent on something other. Like Lamp's flame and light, shadow and real object, The sun and it's aura, object and mirage.
The dependent origination generates the false 'I' which is nothing but the becoming.

Then can one conclude the cessation of becoming is also carried out by reversal of dependent origination I.e Dependent Cessation? I think that's the way!

Shadow can be ceased only when the real object is perceived, if not the shadow thinks it as real, even though it's unreal or non existing thing! Previously perceived snake was actually the rope, when the wisdom dawns upon.
This shadow is false 'I', the illusion, the non-existant thing. But only when one sees it with eyes of wisdom! Can we say that?

Some quotes of Saints have this testimony in common,

√ Cure for Pain is in Pain!\_ Rumi

√ Samudayadhamma(origination) = nirodhadhamma(cessation)\_ Buddha

I believe the becoming and cessation are two opposite sides of the same coin!

What do others have to say about this? Please don't bring here quotes of scriptures. Do we have here the seekers which can see with eyes of wisdom?
I am asking them! Others please don't bother!

Answer: 
Good question, more to the point than your first one, IMO.

Regular samsaric mind is "flat", we see things and we interpret them non-ambiguously as per our ego's convictions.

Buddha's mind is "non-flat", it's not like it doesn't interpret at all, rather it produces a solution space of all possible and plausible interpretations at once. It's not a collection of individual distinct interpretations, more like a multidimensional gradient space.

This is why it's said the Buddha's mind is indescribable, Buddha has no position on things etc.

This has been described variously in Buddhist literature as openness or vastness or groundlessness or Emptiness or suchness or ambiguity or metaphorical homelessness etc.

So it's not that you need to stop the thought and become a rock or a log, not at all. Undoing the ego is about opening up and removing the boundaries, towards the fully open Buddha-mind (Bodhi-citta).

In practice this sort of open multiperspective is actually very helpful in everyday life. It makes one a lot less prone to being stuck in a box or getting into a conflict with others. So it's not just good for enlightenment, it makes one more robust in the regular life, too.
You cannot, not at least until you are enlightened & choose to do so.

What you can do is cease identification with the thought; detach yourself from the one who is doing the thinking. Karma will still play out for you, things happen, situations occur, thoughts arise. You can't really stop this.

The waves still as a consequence of following the path, you cannot willfully curb thought.