這個拼法底下其實是2個不同的字，意思沒有關係， 只是長得一樣。下面分開列出來。跳到 嘖（表示不以為然） · 雜物；破爛東西
Picture the tip of a tongue pressing on the roof of a mouth and snapping away. The tiny click that comes out is the whole word. Nothing is said, nothing is explained, and yet the person opposite you knows exactly what you mean: I saw that, and I do not approve. Everything on this page is that one small click -- first as the sound itself, then as something a person does.
Wiktionary gives only one word for the origin of this tut: imitative. The word is a copy of the sound, so the spelling t-u-t is an attempt to write the click down.
資料對這個 tut 的來源只給了一個詞：imitative（模仿聲音）。也就是說，這個字是把嘴裡那一聲直接寫成字母。所以它唸起來就是它的意思，中間沒有翻譯的過程。
Wiktionary via local kaikki extract, entry tut (etymology 1), source_ref kaikki:3f6f69a190036ae4:675949455 — etymology_text: "Imitative."
One branch
那一聲不贊成
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interjection · C1
A short clicking sound made by putting the tip of your tongue on the roof of your mouth and pulling it away, used to show that you do not approve of something or that it annoys you. It is often said and written twice: tut-tut.
嘖（表示不以為然）
A second word, same spelling
Picture a table you cannot see, because it is buried under old magazines, dead pens, a bag of cables and a card from last year. None of it is wanted. None of it is worth much. That heap is tut. The second use keeps the heap but changes what it is made of: instead of objects, it is words nobody needs to hear.
One branch
不值錢的一堆
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noun · C2
Things that nobody wants, things of poor quality, or things that are making a place look untidy; junk.
雜物；破爛東西