The most common and most likely answer to this crossword clue is the 6 plus 6 letter word TUSSIE MUSSIE
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Buddy explains!
The straight part
We know that "nosegay" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case nosegay = tussie mussie.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 TUSSIE MUSSIE mean?
TUSSIE MUSSIE noun- In Victorian times, a nosegay given by one person to another to convey a message in the language of flowers.