The most common and most likely answer to this crossword clue is the 8 plus 1 letter word SOLDIER} –
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Buddy explains!

The straight part
We know that "fighter" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fighter = soldier} –.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 SOLDIER} – mean?
SOLDIER} – noun- A member of an army, of any rank.
- A private in military service, as distinguished from an officer.
- A guardsman.
- A member of the Salvation Army.
- A piece of buttered bread (or toast), cut into a long thin strip for dipping into a soft-boiled egg.
- A term of affection for a young boy.
- Someone who fights or toils well.
- The red or cuckoo gurnard (Chelidonichthys cuculus).
- One of the asexual polymorphic forms of termites, in which the head and jaws are very large and strong. The soldiers serve to defend the nest.
- A red herring (cured kipper with flesh turned red).
- To continue steadfast; to keep striving.
- To serve as a soldier.
- To intentionally restrict labor productivity; to work at the slowest rate that goes unpunished.
- To take a ride on (another person's horse) without permission.