President Cleveland's face has moustache, perhaps (5)
I believe the answer is:
chair
'president' is the definition.
(I know that president can be written as chair)
'cleveland's face has moustache perhaps' is the wordplay.
'face' suggests taking the first letters.
'has' says to put letters next to each other.
'moustache perhaps' becomes 'hair' (moustache is a kind of hair).
The first letter of 'clevelands' is 'c'.
'c'+'hair'='CHAIR'
(Other definitions for chair that I've seen before include "Official position of authority" , "Preside over - seat" , "Presiding officer" , "Most important seat in committee" , "president" .)