Cold on island, to be specific (8)
I believe the answer is:
concrete
'be specific' is the definition.
(I've seen this in another clue)
'cold on island' is the wordplay.
'cold' becomes 'C' (eg on taps).
'island' becomes 'crete' (Greek island).
'c'+'on'+'crete'='CONCRETE'
'to' is the link.
(Other definitions for concrete that I've seen before include "Not abstract - construction material" , "Solid like building material" , "Actual - stuff made with cement" , "Substantial, real" , "Specific; definite" .)