Iron clothes in the morning for celebrity (4)
I believe the answer is:
fame
'celebrity' is the definition.
('fame' can be a synonym of 'celebrity')
'iron clothes in the morning' is the wordplay.
'iron' becomes 'fe' ('Fe' can be a synonym of 'iron').
'clothes' indicates putting letters inside.
'in the morning' becomes 'am'.
'fe' going around 'am' is 'FAME'.
'for' acts as a link.
(Other definitions for fame that I've seen before include "Notoriety or celebrity" , "Favourable public reputation" , "14 [BOWIE] recorded this" , "Celebrity; stage musical" , "Musical - stardom" .)