The most common and most likely answer to this crossword clue is the 9 letter word DOMINANCE
I've seen this crossword clue in Financial Times
D
O
M
I
N
A
N
C
E
More clues leading to the result DOMINANCE
- Authority and income tumbling
- Old minister has ball holding power
- Control working and income
- Sway and reel about at home after yogic chant
- Take steps to keep order in authority
- Monk in ANC beginning to establish control
- Sway and come in shaking
- Funny comedian touring North, in total control
- Mastery gained in code man cracked
- Authority and order at home, steps being taken to secure such
Buddy explains!

The straight part
We know that "authority" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case authority = dominance.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 DOMINANCE mean?
DOMINANCE noun- The state of being dominant; of prime importance; supremacy.
- Being in a position of power, authority or ascendancy over others.
- The superior development of or preference for one side of the body or one of a pair of organs; such as being right-handed.
- The property of a gene such that it suppresses the expression of its allele.