Refused to have queued after a month (8)
I believe the answer is:
declined
'refused' is the definition.
('decline' can be a synonym of 'refuse')
'queued after a month' is the wordplay.
'queued' becomes 'lined' (I am not sure about this - if you are sure you should believe this answer much more).
'after' is a charade indicator (letters next to each other).
'a month' becomes 'Dec' (abbreviation for December).
'lined' after 'dec' is 'DECLINED'.
'to have' acts as a link.
Can you help me to learn more?
(Other definitions for declined that I've seen before include "sank" , "Turned down < , fell off" , "Went through cases" , "Refused; waned" , "Said no, refused" .)