The most common and most likely answer to this crossword clue is the 3 letter word PUT
I've seen this crossword clue in The Times
P
U
T
More clues leading to the result PUT
- Cherubic boy, player chasing others, in distress
- Place ram recalled?
- Offer room to build — not such an honest job?
- Nominate board for such a dishonest job
- Place sheep upside-down
- Drive quietly to face aunt every now and then
- Fraudulent schemes of accommodation agents?
- Slight drop
- Spurious posts in the building trade?
- Ill-used, getting no place at Oxford? The reverse
Buddy explains!

The straight part
We know that "Offer room to/build/not such an honest job?" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case offer room to/build/not such an honest job? = put.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 PUT mean?
PUT noun- A right to sell something at a predetermined price.
- A contract to sell a security at a set price on or before a certain date.
- The act of putting; an action; a movement; a thrust; a push.
- An old card game.
- To place something somewhere.
- To bring or set into a certain relation, state or condition.
- To exercise a put option.
- To express something in a certain manner.
- To throw a heavy iron ball, as a sport. (See shot put. Do not confuse with putt.)
- To steer; to direct one's course; to go.
- To play a card or a hand in the game called put.
- To attach or attribute; to assign.
- To lay down; to give up; to surrender.
- To set before one for judgment, acceptance, or rejection; to bring to the attention.
- To incite; to entice; to urge; to constrain; to oblige.
- To convey coal in the mine, as for example from the working to the tramway.
- An idiot; a foolish person; a duffer.
- A prostitute.