Phlegmatic type’s standing briefly recognised around India (5)
I believe the answer is:
stoic
'phlegmatic type's' is the definition.
(I've seen this before)
'standing briefly recognised around india' is the wordplay.
'standing' becomes 'stock'.
'briefly' means to remove the last letter.
'recognised around' is an insertion indicator.
'india' becomes 'i' (phonetic alphabet: alpha, bravo, charlie etc.).
'stock' with its last letter taken away is 'stoc'.
'stoc' placed around 'i' is 'STOIC'.
(Other definitions for stoic that I've seen before include "Ancient philosopher" , "Uncomplaining; philosopher" , "Phlegmatic type" , "Resigned" , "not given to complaining" .)