Lord having no right to accept jibe about ancestry (8)
I believe the answer is:
Here is my best explanation:
'ancestry' is the definition.
(pedigree is a kind of ancestry)
'lord having no right to accept jibe' is the subsidiary indication.
I cannot quite see 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 explanation may well be incorrect...
'about' is the link.
(Other definitions for pedigree that I've seen before include "List of ancestors", "Stock", "Distinguished line of ancestors", "Of animals, recorded line of descent", "Breeding; descent", "Ancestry - genealogy", "Genealogy", "Line of descent, family tree", "Lineage of purebred animal" and "What a mongrel doesn't have".)