Brownish-orange peels from the tikka covering grated carrot (10)
I believe the answer is:
terracotta
'brownish-orange' is the definition.
(terracotta is a brownish-orange colour)
'the tikka covering grated carrot' is the wordplay.
'the' becomes 't' (the is pronounced as a 't' sound in some dialects).
'tikka' becomes 'eta' (I can't justify this - if you can you should believe this answer much more).
'covering' is an insertion indicator.
'grated' indicates an anagram.
'carrot' anagrammed gives 'rracot'.
'eta' going around 'rracot' is 'erracotta'.
't'+'erracotta'='TERRACOTTA'
'peels from' acts as a link.
This may not be right. Some or all of it may belong to another bit of the clue.
(Other definitions for terracotta that I've seen before include "casting" , "statuette, perhaps" , "Pottery" , "brownish-red colour" , "Ornamental building material" .)