Cryptic crossword clue
Analytical system that would do for dim neurotics 12

The most common and most likely answer to this crossword clue is the 12 letter word REDUCTIONISM

I've seen this crossword clue in The Times
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The straight part
We know that "Analytical system" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case analytical system = reductionism.
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 REDUCTIONISM mean?

REDUCTIONISM noun
  1. An approach to studying complex systems or ideas by reducing them to a set of simpler components.
  2. A philosophical position which holds that a complex system is nothing but the sum of its parts, and that an account of it can be reduced to accounts of individual constituents. In a reductionist framework, the phenomena that can be explained completely in terms of relations between other more fundamental phenomena, are called "epiphenomena".

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