Little wonder one has a childish gift after new delivery (6,7)

I believe the answer is:

infant prodigy

I'm a little stuck... Click here to teach me more about this clue!

'one has a childish gift after new delivery' is the definition.
I can't tell whether this definition defines the answer.

'little wonder' is the wordplay.
'little' becomes 'infant' (I can't justify this - if you can you should believe this answer much more).
'wonder' becomes 'prodigy'.
'infant'+'prodigy'='INFANT PRODIGY'

Can you help me to learn more?

(Other definitions for infant prodigy that I've seen before include "Wonder child" , "junior mastermind" , "Young genius" , "Mozart?" .)

I've seen this clue in the Irish Times and the Irish Times (Crosaire).

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