New name for hair (4)
I believe the answer is:
mane
'for hair' is the definition.
(mane is a kind of hair)
'new name' is the wordplay.
'new' indicates an anagram.
'name' anagrammed gives 'MANE'.
(Other definitions for mane that I've seen before include "Animal neck-hair" , "Long thick hair" , "Hair (of lion)" , "(Lion's) hair on neck" , "Long shaggy hair" .)