VIP, maybe, but no bighead (3)
I believe the answer is:
nob
'vip' is the definition.
(I've seen this in other clues)
'no bighead' is the wordplay.
'bighead' becomes 'b' (head letter of 'big').
'no'+'b'='NOB'
'maybe but' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for nob that I've seen before include "A slangy person of high rank - c'est bon" , "A slangy head" , "A posh gent - c'est bon" , "Aristocrat" , "A slang toff - c'est bon" .)