The most common and most likely answer to this crossword clue is the 6 letter word WORTHY
I've seen this crossword clue in The Times
W
O
R
T
H
Y
More clues leading to the result WORTHY
- Disagreement about your being up to the job?
- Dispute about your past fit
- Argue about your old mayor?
- Row about your quaint local VIP
- Line up your quaint VIP
- Somebody in trouble over your past
- Throw out Yankee dignitary
- A line about your old-fashioned dignitary
- Were the sounds good?
- Throw out unknown dignitary
Buddy explains!

The straight part
We know that "being up to the job" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case being up to the job = worthy.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 WORTHY mean?
WORTHY noun- A distinguished or eminent person
- Having worth, merit or value
- Honourable or admirable
- Deserving, or having sufficient worth
- Suited; befitting.
- To render or treat as worthy; exalt; revere; honour; esteem; respect; value; reward; adore.