Peacemaker endlessly offers qualification (7)
I believe the answer is:
diploma
'qualification' is the definition.
(type of academic qualification)
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for diploma that I've seen before include "Exam certificate" , "What a student seeks" , "Paper showing examination success" , "Course certificate" , "Document conferring honour" .)