Blooming thing having woman soldier lose cool endlessly (10)

I believe the answer is:

frangipani

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'blooming thing' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.

'having woman soldier lose cool endlessly' is the wordplay.
'having woman' becomes 'fran' (I can't explain this - if you can you should believe this answer much more).
'soldier' becomes 'GI' (term for US soldier).
'lose cool' becomes 'panic' (I've seen this before).
'endlessly' means to remove the last letter.
'panic' with its last letter taken away is 'pani'.
'fran'+'gi'+'pani'='FRANGIPANI'

Can you help me to learn more?

I've seen this clue in The Times.

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