Pursuit around India in carriage (6)
I believe the answer is:
chaise
'carriage' is the definition.
(chaise is a kind of carriage)
'pursuit around india' is the wordplay.
'pursuit' becomes 'chase' (synonyms).
'around' indicates putting letters inside.
'india' becomes 'i' (phonetic alphabet: alpha, bravo, charlie etc.).
'chase' enclosing 'i' is 'CHAISE'.
'in' acts as a link.
(Other definitions for chaise that I've seen before include "... longue, chair for reclining" , "Light open carriage" .)