The most common and most likely answer to this crossword clue is the 3 letter word SAY
I've seen this crossword clue in The Times
S
A
Y
More clues leading to the result SAY
- Speak, for example
- Christian group having variable influence
- Right to speak, for example
- State, for example
- State leaders to support overseas sanction
- Leader of Salvation Army gutted, for instance
- What those in authority may have, for example
- Authority, for example?
- Give voice, perhaps
- Directive for one young man has overlooked name
Buddy explains!

The straight part
We know that "Authority/for example" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case authority/for example = say.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 SAY mean?
SAY noun- A chance to speak; the right or power to influence or make a decision.
- To pronounce.
- To recite.
- To tell, either verbally or in writing.
- To indicate in a written form.
- To have a common expression; used in singular passive voice or plural active voice to indicate a rumor or well-known fact.
- Suppose, assume; used to mark an example, supposition or hypothesis.
- To speak; to express an opinion; to make answer; to reply.
- (of a possession, especially money) To bet as a wager on an outcome; by extension, used to express belief in an outcome by the speaker.
- For example; let us assume.
- Used to gain someone's attention before making an inquiry or suggestion
- A type of fine cloth similar to serge.
- Trial by sample; assay; specimen.
- Tried quality; temper; proof.
- Essay; trial; attempt.
- To try; to assay.
- A strainer for milk.