New headline seen in cold Republican light (10)
I believe the answer is:
chandelier
'light' is the definition.
'new headline seen in cold republican' is the wordplay.
'new' indicates an anagram.
'seen in' is an insertion indicator.
'cold' becomes 'c' (eg on taps).
'republican' becomes 'r' (abbreviation).
'headline' anagrammed gives 'handelie'.
'c'+'r'='cr'
'handelie' put into 'cr' is 'CHANDELIER'.
(Other definitions for chandelier that I've seen before include "Hanging light fixture" , "Ornamental light fitting" , "lights up?" , "Ornament" , "Elaborate hanging light" .)