Lord having no right to accept jibe about ancestry (8)
I believe the answer is:
pedigree
'ancestry' is the definition.
(pedigree is a kind of ancestry)
'lord having no right to accept jibe' is the wordplay.
I cannot quite understand how this works, but
'right' could be 'r' (common abbreviation) and 'r' is present in the answer.
'jibe' could be 'dig' ('dig' can be a synonym of 'jibe') and 'dig' is present in the answer.
This may be the basis of clue (or it may be nonsense).
'about' acts as a link.
Can you help me to learn more?
(Other definitions for pedigree that I've seen before include "Ancestry - genealogy" , "(Pure) ancestry" , "What a mongrel doesn't have" , "Genealogical table" , "Blood line" .)