The most common and most likely answer to this crossword clue is the 9 letter word MATURATES
I've seen this crossword clue in Independent
M
A
T
U
R
A
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E
S
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The straight part
We know that "festers" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case festers = maturates.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 MATURATES mean?
MATURATES verb- To bring to ripeness or maturity; to ripen.
- To promote the perfect suppuration of (an abscess).
- To undergo perfect suppuration.