The most common and most likely answer to this crossword clue is the 9 letter word ATTENDING
A
T
T
E
N
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Buddy explains!

The straight part
We know that "serving" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case serving = attending.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 ATTENDING mean?
ATTENDING verb- To set on fire; kindle.
- To take or catch fire.
- To listen to (something or someone); to pay attention to; regard; heed.
- To listen (to, unto).
- To turn one's consideration (to); to deal with (a task, problem, concern etc.), to look after.
- To wait upon as a servant etc.; to accompany to assist (someone).
- To be present at (an event or place) in order to take part in some action or proceedings; to regularly go to (an event or place).
- To go to (a place) for some purpose (with at).
- To be present with; to accompany; to be united or consequent to.
- To wait for; to await; to remain, abide, or be in store for.
- A physician on the staff of a hospital, especially the principal one that supervises a patient's care.
- That attend or attends; that is or are in attendance; attendant.
- Serving on the staff of a teaching hospital as a doctor.