The most common and most likely answer to this crossword clue is the 4 plus 5 letter word HUSH MONEY
I've seen this crossword clue in The Times
H
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S
H
M
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Y
More clues leading to the result HUSH MONEY
- Spooner's sentimentality, something sweet providing inducement
- States monarch might be taken in by sweetener or bribe
- Liquid mush found in nectar must be a sweetener
- Bribe with some mushrooms cooked in nectar
- Silence is golden when this is paid?
- Spooner’s semi-solid sugar? You can’t tell with this sweetener
- Darling going round America with hot maiden gives bribe to keep it secret
Buddy explains!

The straight part
We know that "inducement" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case inducement = hush money.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.