Self-centred fathead in a pixie hood! (3)

I believe the answer is:

elf

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'pixie hood' is the definition.
'elf' can be an answer for 'hood' (thesaurus). I am not sure about the 'pixie' bit.

'self-centred fathead' is the wordplay.
'centred' means to look at the middle letters.
'fathead' becomes 'f' (head letter of 'fat').
The middle letters of 'self' are 'el'.
'el'+'f'='ELF'

'in a' is the link.

Can you help me to learn more?

(Other definitions for elf that I've seen before include "A leprechaun" , "Goblin" , "Mischievous creature" , "Mischievous youngster" , "1 ac fairy" .)

I've seen this clue in the Evening Standard.

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