Little child obtains right headwear (5)
I believe the answer is:
mitre
'headwear' is the definition.
(headwear worn by a bishop)
'little child obtains right' is the wordplay.
'little child' becomes 'mite'.
'obtains' indicates putting letters inside.
'right' becomes 'r' (common abbreviation).
'mite' going around 'r' is 'MITRE'.
(Other definitions for mitre that I've seen before include "symbol of ecclesiastical authority" , "Corner joint - bishop's hat" , "Bishop's cap - wood joint" , "Episcopal headdress" , "A bishop wears it" .)