Capital part of Coromandel history (5)
I believe the answer is:
delhi
'capital' is the definition.
(I've seen this before)
'part of coromandel history' is the wordplay.
'part of' says the answer is hidden in the clue.
'DELHI' is hidden in the letters of 'coromandel history'.
(Other definitions for delhi that I've seen before include "Capital on the river Jumna" , "Plumbing ring" , "Indian state" , "It's also new in India" , "Old city of north central India" .)