The most common and most likely answer to this crossword clue is the 9 letter word STIMULATE
I've seen this crossword clue in The Guardian
S
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More clues leading to the result STIMULATE
- To arouse old model, put on trousers
- Induce badly mutilated son to take over from daughter
- Make a pretence of embracing technology’s lead with Kindle
- Encourage mimic seen outside theatre at first
- Provoke mimic pinching last of profit
- Encourage last-minute changes, ignoring head of news
- Encourage one getting cross no end to go into country
- Fire! Act to curb temperature
- Urge one obstinate animal, endlessly in bother
- Prompt conclusion of expert taken in by fake
Buddy explains!

The straight part
We know that "Induce" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case induce = stimulate.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 STIMULATE mean?
STIMULATE verb- To encourage into action.
- To arouse an organism to functional activity.