Cryptic crossword clue
What sounds like cunning experiment is most trivial 9

The most common and most likely answer to this crossword clue is the 9 letter word SLIGHTEST

I've seen this crossword clue in Financial Times
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Buddy explains!

The straight part
We know that "most trivial" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case most trivial = slightest.
The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.
This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.

What does SLIGHTEST mean?

SLIGHTEST verb
  1. To treat as unimportant or not worthy of attention; to make light of.
  2. To give lesser weight or importance to.
  3. To treat with disdain or neglect, usually out of prejudice, hatred, or jealousy; to ignore disrespectfully.
  4. To act negligently or carelessly.
  5. (of a fortification) To render no longer defensible by full or partial demolition.
  6. To make even or level.
  7. To throw heedlessly.
SLIGHTEST adjective
  1. Small
  2. Of slender build
  3. Even, smooth or level
  4. (especially said of the swa) still; with little or no movement on the surface
  5. Foolish; silly; not intellectual.
  6. Bad, of poor quality.
  7. Slighting; treating with disdain.

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