As-Salaam alaikum,
In Muzaffer Ozak's book, "THE IRSHAD", the value of silence is beautifully explained in the conversation between Allahu, Subhanahu Wa Ta'ala, and our blessed Prophet Muhammad, Sallallahu alaihi Wasallam, on the night of 'Isra wal Mi'eraj.

Says Allah Ta'ala to our Master, Sallallahu alaihi Wasallam:--

"O Ahmad, to be aware of doubt is the beginning and end of religion.
Worship has 10 parts: eating lawful food account for 9 of those parts
and Silence is the other. I develop the hearts of those who observe silence,
while I wreck the hearts of those who talk too much. Do you know [what]
the reward due to a servant of Mine is if he fasts and keeps silent to please Me?"

The Prophet, peace be upon him, said: "My Lord, I do not know." So the Exalted One explained:-

"The reward for fasting, keeping silence and not talking too much is Wisdom. The legacy of
wisdom is esoteric knowledge. The end of esoteric knowledge is closeness to Me. I have 3 rewards
for anyone who conducts himself to please Me and earn My Divine approval:--

I shall teach him such knowledge that no ignorance will remain in him
I shall give him such Intelligence that no forgetfulness will remain in him
I shall give such affection that he will love nothing other than Me.

That servant of Mine will have his heart so full of My love that there will be no space in it
for any other. I love those who love Me. I also cause them to love My Servants.
I make them Kings of the Heart."