The most common and most likely answer to this crossword clue is the 8 letter word ELEGANCE
I've seen this crossword clue in Financial Times
E
L
E
G
A
N
C
E
More clues leading to the result ELEGANCE
- Refinement of English member swinging cane
- Stylishness of English member, one belonging to a previous generation, not half
- English cricket side finally win in great style
- Finally, Conservative member gets cane out, showing refinement
- Note on an Anglican church shows style
- Chic short poem, one about 16A
- Polish dermatologist’s second-stage acne treatment
- Point to member twirling cane with style
- Key Stage One accommodates new class
- Line dancing, say — an endless jig with lack of grace
Buddy explains!

The straight part
We know that "style" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case style = elegance.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 ELEGANCE mean?
ELEGANCE noun- Grace, refinement, and beauty in movement, appearance, or manners.
- Restraint and grace of style.
- The beauty of an idea characterized by minimalism and intuitiveness while preserving exactness and precision.
- A refinement or luxury.