Mum or dad paid half landlord's fee (6)
I believe the answer is:
parent
'mum or dad' is the definition.
(I've seen this before)
'paid half landlord's fee' is the wordplay.
'half' indicates taking half.
'landlord's fee' becomes 'rent' (I am not sure about this - if you are sure you should believe this answer much more).
'paid' with half the letters taken is 'pa'.
'pa'+'rent'='PARENT'
Can you help me to learn more?
(Other definitions for parent that I've seen before include "Raise" , "Uncle's sibling?" , "The company of which others are subsidiaries" , "One raises issue" , "Procreator" .)