The most common and most likely answer to this crossword clue is the 9 letter word EYELASHES
I've seen this crossword clue in Independent
E
Y
E
L
A
S
H
E
S
More clues leading to the result EYELASHES
- See Haley’s wavy facial hair
- They protect viewers with opinion getting attacks
- Deployed falsely, perhaps, by a woman
- Look at what cat’s got – they might be fluttering
- Delicate sensors say eel writhes before she wriggles
- … they may be fluttered, if you’re interested
- Look at cats at the far end – they’re on the lids
- Batted to score a hit?
Buddy explains!

The straight part
We know that "Delicate sensors" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case delicate sensors = eyelashes.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 EYELASHES mean?
EYELASHES noun- One of the hairs which grow along the edge of eyelids