Coastal area: Mexican artist touring one (7)
I believe the answer is:
riviera
'coastal area' is the definition.
(I've seen this before)
'mexican artist touring one' is the wordplay.
'mexican' becomes 'rive' (I am not sure about this - if you are sure you should believe this answer much more).
'artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'touring' is an insertion indicator (touring can mean going round).
'one' becomes 'i' (Roman numeral).
'rive'+'ra'='rivera'
'rivera' placed around 'i' is 'RIVIERA'.
Can you help me to learn more?
(Other definitions for riviera that I've seen before include "I arrive at French holiday region" , "Coastal region with resorts" , "holiday destination" , "Warm coastal district" , "Mediterranean resort area" .)