Mountain-dweller starts to circulate, having a month in Paris (7)
I believe the answer is:
chamois
'mountain-dweller' is the definition.
(type of goat that lives in mountains)
'starts to circulate having a month in paris' is the wordplay.
'starts to' says to take the initial letters.
'month in paris' becomes 'mois' ('month' in French).
The initial letters of 'circulate having' is 'ch'.
'ch'+'a'+'mois'='CHAMOIS'
(Other definitions for chamois that I've seen before include "Agile European mountain dweller" , "Leather; goat-antelope" , "Form of leather" , "Mountain-dwelling antelope" , "not one to put a foot wrong!" .)