Child possessing a right to a special hat (5)
I believe the answer is:
mitre
'a special hat' is the definition.
The answer and definition can be both man-made objects as well as being singular nouns.
Maybe you can see a link between them that I can't see?
'child possessing a right' is the wordplay.
'child' becomes 'mite' (mite can informally mean a small child).
'possessing' means one lot of letters goes inside another.
'a right' becomes 'r' (abbreviation).
'mite' placed around 'r' is 'MITRE'.
'to' acts as a link.
Can you help me to learn more?
(Other definitions for mitre that I've seen before include "Bishop's headwear" , "Liturgical headdress" , "Bishop's headgear - joint" , "Sort of joint" , "What a bishop may have on" .)