The most common and most likely answer to this crossword clue is the 9 letter word SEMIOTICS
I've seen this crossword clue in The Guardian
S
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M
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T
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Buddy explains!

The straight part
We know that "study of signs" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case study of signs = semiotics.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 SEMIOTICS mean?
SEMIOTICS noun- The study of signs and symbols, especially as means of language or communication.
- The study of medical signs and symptoms; symptomatology.