Thus America carrying burden becomes dozy (10)
I believe the answer is:
slumberous
'dozy' is the definition.
(thesaurus)
'thus america carrying burden' is the wordplay.
'thus' becomes 'so' ('so' can be a synonym of 'thus').
'america' becomes 'us' (abbreviation for the United States).
'carrying' means one lot of letters goes inside another.
'burden' becomes 'lumber'.
'so'+'us'='sous'
'sous' going around 'lumber' is 'SLUMBEROUS'.
'becomes' acts as a link.
(Another definition for slumberous that I've seen is " Wanting to drop off".)
I've seen this clue in The Times.
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