The most common and most likely answer to this crossword clue is the 9 letter word COURTSHIP
I've seen this crossword clue in The Times
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More clues leading to the result COURTSHIP
- … wooing judicial assemblies with it
- A good move, packing shirt, pants, suit
- Royal household cool about second romance
- Dating an old tennis champion’s cool
- Romantic activity in vessel — after love, in short
- Places for rallies fashionable in pre-union period?
- New shirt’s cut up after business suit
- Activity for lovers of royal house transport
- Tribunal’s joint activity pursued by lover
Buddy explains!

The straight part
We know that "wooing" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case wooing = courtship.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 COURTSHIP mean?
COURTSHIP noun- The act of paying court, with the intent to solicit a favor.
- The act of wooing in love; solicitation of woman to marriage or other romantic relationship.
- Courtliness; elegance of manners; courtesy.
- Court policy; the character of a courtier; artifice of a court; court-craft; finesse.