Arrogant end reflects badly (4-7)
I believe the answer is:
self-centred
'arrogant' is the definition.
Both the definition and answer are adjectives. Maybe they are linked in a way I don't understand?
'end reflects badly' is the wordplay.
'badly' is an anagram indicator.
'end'+'reflects'='endreflects'
'endreflects' is an anagram of 'SELF-CENTRED'.
Can you help me to learn more?
(Other definitions for self-centred that I've seen before include "Egocentric" , "Thinking only of one's own person" , "Wrapped up in oneself" , "oblivious to others?" , "Egotistical" .)