Crossword Genius

Country done with Conservative heading it (4)

Ross

I believe the answer is:

chad

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

'country' is the definition.
(I know that Chad is a African country)

'done with conservative heading it' is the wordplay.
I cannot quite understand how this works, but
'done' could be 'had' ('do' and 'have' can both mean to defraud) and 'had' is found in the answer.
'conservative' could be 'c' (UK political abbreviation) and 'c' is found within the answer.
This accounts for all the letters.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for chad that I've seen before include "Small piece that's removed when a hole is punched, in a card say" , "article put out by Punch?" , "Country - which got Bush elected in Florida?" , "Piece of (almost?) punched-out paper" , "hanging has helped elect president?" .)

I've seen this clue in The Sunday Times and The Times.
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