The most common and most likely answer to this crossword clue is the 13 letter word IMPRESSIONISM
I've seen this crossword clue in Independent
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More clues leading to the result IMPRESSIONISM
Buddy explains!

The straight part
We know that "artistic style" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case artistic style = impressionism.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 IMPRESSIONISM mean?
IMPRESSIONISM noun- A movement in art characterized by visible brush strokes, ordinary subject matters, and an emphasis on light and its changing qualities
- A style that avoided traditional harmony, and sought to invoke the impressions of the composer
- A style that used imagery and symbolism to portray the poet's impressions