The most common and most likely answer to this crossword clue is the 8 letter word FINESPUN
I've seen this crossword clue in Financial Times
F
I
N
E
S
P
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More clues leading to the result FINESPUN
Buddy explains!

The straight part
We know that "Over-subtle" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case over-subtle = finespun.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 FINESPUN mean?
FINESPUN adjective- Spun into a fine thread
- Delicate and subtle, with fine detail