Conducted back with a greeting to a city of north central India (5)
I believe the answer is:
delhi
'city of north central india' is the definition.
'Delhi' can be an answer for 'city' (Delhi is an example). I am not sure about the 'of north central india' bit.
'conducted back with a greeting' is the wordplay.
'conducted' becomes 'led' ('lead' can be a synonym of 'conduct').
'back' is a reversal indicator.
'with' means one lot of letters go next to another.
'a greeting' becomes 'hi' (hi is a kind of greeting).
'led' back-to-front is 'del'.
'del'+'hi'='DELHI'
'to a' acts as a link.
Can you help me to learn more?
(Other definitions for delhi that I've seen before include "Plumbing ring" , "Indian capital city" , "Capital of India" , "Capital at one time" , "Capital on the river Jumna" .)