Shuts up about one having rights (6)
I believe the answer is:
claims
'rights' is the definition.
(claim is a kind of right)
'shuts up about one' is the wordplay.
I cannot quite see how this works, but
'about' could be 'c' (abbreviation for circa) and 'c' is present in the answer.
'one' could be 'i' (Roman numeral) and 'i' is located in the answer.
The remaining letters 'lams' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...
'having' acts as a link.
Can you help me to learn more?
(Other definitions for claims that I've seen before include "Declares that one is the owner of something" , "Asserts as a fact" , "Requests or demands as one's own" , "Assertions that one has gained or achieved something" , "'Asserts, avers (6)'" .)