Presided over cleaners, primarily with a mop? (7)
I believe the answer is:
chaired
'presided' is the definition.
('chair' can be a synonym of 'preside')
'cleaners primarily with a mop?' is the wordplay.
'primarily' indicates taking the first letters.
'with' indicates putting letters inside.
'mop?' becomes 'hired' (I can't justify this - if you can you should believe this answer much more).
The first letter of 'cleaners' is 'c'.
'a' placed into 'hired' is 'haired'.
'c'+'haired'='CHAIRED'
'over' acts as a link.
Can you help me to learn more?
(Other definitions for chaired that I've seen before include "Looked after meeting" , "Led (meeting)" .)