The most common and most likely answer to this crossword clue is the 6 letter word RAFFIA
I've seen this crossword clue in Financial Times
R
A
F
F
I
A
More clues leading to the result RAFFIA
- After service lift provided by a basket-maker?
- Craft fair welcoming a fine fibre for weaving
- Sordid affair that’s seen at evening classes
- Fibre shown by female in service on island close to Tampa
- Fibres, excellent, fine and very much pushed back
- Fibre fair loosens a fellow inside
- Fliers fail, possibly, lacking the ultimate in moral fibre
- A binding affair is arranged
- Strange affair of basket-making material
- Fibre shown by fliers given brief command
Buddy explains!

The straight part
We know that "Fibre" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fibre = raffia.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 RAFFIA mean?
RAFFIA noun- A fibrous material used for tying plants, originating from the leaves of the raffia palm tree (genus Raphia).