Former pope endlessly touring India’s city fringes (7)
I believe the answer is:
exurbia
'city fringes' is the definition.
(exurbs - areas beyond suburbs)
'former pope endlessly touring india's' is the wordplay.
'former' becomes 'ex' (prefix meaning former or onetime).
'pope' becomes 'urban' (there have been several Pope Urbans).
'endlessly' means to remove the last letter.
'touring' is an insertion indicator (touring can mean going round).
'india' becomes 'i' (phonetic alphabet: alpha, bravo, charlie etc.).
'urban' with its last letter taken off is 'urba'.
'urba' going around 'i' is 'urbia'.
'ex'+'urbia'='EXURBIA'
(Another definition for exurbia that I've seen is " Outer city area".)