Wife, say, or the silly husband Alfred (5,4)
I believe the answer is:
other half
'wife' is the definition.
(thesaurus)
'or the silly husband alfred' is the wordplay.
'silly' is an anagram indicator.
'husband alfred' becomes 'half' (I can't justify this - if you can you should give a lot more credence to this answer).
'or'+'the'='orthe'
'orthe' with letters rearranged gives 'other'.
'other'+'half'='OTHER HALF'
'say' acts as a link.
Can you help me to learn more?
(Other definitions for other half that I've seen before include "partner" , "Dutch" , "people better off than us?" , "Wife or hubby" , "Spouse" .)