Our kid, at first wavering, recognised American filmmaker (8)
I believe the answer is:
kurosawa
'filmmaker' is the definition.
I can't judge whether this defines the answer.
'our kid at first wavering recognised american' is the wordplay.
'at first' says to take the initial letters.
'wavering' indicates an anagram.
'recognised' becomes 'saw'.
'american' becomes 'a' (common abbreviation - e.g. in organisation names).
The first letter of 'kid' is 'k'.
'our'+'k'='ourk'
'ourk' with letters rearranged gives 'kuro'.
'kuro'+'saw'+'a'='KUROSAWA'
Can you help me to learn more?
(Another definition for kurosawa that I've seen is " Akira --, Japanese film director".)