Crossword Genius

American involved in three fantastic fights, give or take (11)

Ross

I believe the answer is:

thereabouts

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'or take' is the definition.
I can't judge whether this defines the answer.

'american involved in three fantastic fights' is the wordplay.
'american' becomes 'a' (common abbreviation - e.g. in organisation names).
'involved in' means one lot of letters goes inside another.
'fantastic' indicates an anagram.
'fights' becomes 'bouts' ('bout' can be a synonym of 'fight').
'three' anagrammed gives 'there'.
'there'+'bouts'='therebouts'
'a' inserted within 'therebouts' is 'THEREABOUTS'.

'give' is the link.

Can you help me to learn more?

(Other definitions for thereabouts that I've seen before include "in that neighbourhood" , "Near that place" , "roughly" .)

I've seen this clue in The Telegraph.
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