He's willing to have an examination list put up (8)
I believe the answer is:
testator
'he's willing' is the definition.
(I've seen this before)
'an examination list put up' is the wordplay.
'an examination' becomes 'test' (synonyms).
'list' becomes 'rota' (rota is a kind of list).
'put up' shows that the letters should be reversed in order.
'rota' back-to-front is 'ator'.
'test'+'ator'='TESTATOR'
'to have' acts as a link.
(Other definitions for testator that I've seen before include "A man who has made a will" , "one may need solicitor" , "Man who makes a will" , "Attestor (anag.)" , "Will producer" .)