Siren's beginning song with noise in island (8)
I believe the answer is:
sardinia
'island' is the definition.
(Sardinia is an example)
'siren's beginning song with noise' is the wordplay.
'beginning' indicates taking the first letters.
'song' becomes 'aria' (aria is a kind of song).
'with' indicates putting letters inside.
'noise' becomes 'din' (din is a kind of noise**).
The initial letter of 'sirens' is 's'.
'aria' going around 'din' is 'ardinia'.
's'+'ardinia'='SARDINIA'
'in' acts as a link.
(Other definitions for sardinia that I've seen before include "Island south of Corsica" , "Island belonging to Italy" , "Corsican neighbour" , "Adrian is seen in Mediterranean island" , "Large Italian island, capital Cagliari" .)