Graphic symbol or image daughter redesigned (8)
I believe the answer is:
ideogram
'graphic symbol' is the definition.
(symbol representing an idea)
'or image daughter redesigned' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'redesigned' indicates an anagram.
'or'+'image'+'d'='orimaged'
'orimaged' with letters rearranged gives 'IDEOGRAM'.
(Other definitions for ideogram that I've seen before include "Written character symbolising a concept or the thing itself" , "Symbol indicating idea of a thing, like number" , "Symbol indicating idea, like road sign" , "E.g. numeral, Chinese character" , "Symbolic character" .)