A right noise in centre of Asian island (8)
I believe the answer is:
sardinia
'island' is the definition.
(Sardinia is an example)
'a right noise in centre of asian' is the wordplay.
'right' becomes 'r' (common abbreviation).
'noise' becomes 'din' (din is a kind of noise**).
'in' is an insertion indicator.
'centre of' says to take the centre.
The centre of 'asian' is 'sia'.
'a'+'r'+'din'='ardin'
'ardin' placed into 'sia' is 'SARDINIA'.
(Other definitions for sardinia that I've seen before include "Large Italian island, capital Cagliari" , "Second-largest Mediterranean island, after Sicily" , "Corsican neighbour" , "Adrian is seen in Mediterranean island" , "Island south of Corsica" .)