The most common and most likely answer to this crossword clue is the 5 letter word TASTE
I've seen this crossword clue in The Times
T
A
S
T
E
More clues leading to the result TASTE
- Pinch mistress's bottom in gallery
- Savour putting down socialist leader, say
- Country's leader's moving along showing sense
- Sample artist's penultimate piece in gallery
- Refinement of sculptor's head in gallery
- Dash into toilet, as terrified
- Brief experience of rogue state
- Liking decorum
- Sense country must demote leader
- Sample of titbit as temptation?
Buddy explains!

The straight part
We know that "Refinement" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case refinement = taste.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 TASTE mean?
TASTE noun- One of the sensations produced by the tongue in response to certain chemicals; the quality of giving this sensation.
- The sense that consists in the perception and interpretation of this sensation.
- A small sample of food, drink, or recreational drugs.
- A person's implicit set of preferences, especially esthetic, though also culinary, sartorial, etc.
- Personal preference; liking; predilection.
- A small amount of experience with something that gives a sense of its quality as a whole.
- A kind of narrow and thin silk ribbon.
- To sample the flavor of something orally.
- To have a taste; to excite a particular sensation by which flavour is distinguished.
- To experience.
- To take sparingly.
- To try by eating a little; to eat a small quantity of.
- To try by the touch; to handle.