The most common and most likely answer to this crossword clue is the 12 letter word OVERDRESSING
I've seen this crossword clue in Financial Times
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Buddy explains!

The straight part
We know that "Wearing extravagant clothes" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case wearing extravagant clothes = overdressing.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 OVERDRESSING mean?
OVERDRESSING verb- To wear too many clothes for a particular occasion.
- To wear clothing which is too elaborate or formal for a particular occasion.