Close sibling displayed incidental wit (9,4)
I believe the answer is:
identical twin
'close sibling' is the definition.
'identical twin' can be an answer for 'sibling' (identical twin is a kind of sibling). I am not sure about the 'close' bit.
'displayed incidental wit' is the wordplay.
'displayed' is an anagram indicator (letters displayed in another way).
'incidental'+'wit'='incidentalwit'
'incidentalwit' anagrammed gives 'IDENTICAL TWIN'.
Can you help me to learn more?
(Other definitions for identical twin that I've seen before include "Lookalike sibling" , "One of two from the same fertilised egg" .)