Sluggishly, and awfully idly, going round Australia (6)

I believe the answer is:

dozily

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'sluggishly' is the definition.
Both the answer and definition are adverbs.
Perhaps you can see a link between them that I don't see?

'awfully idly going round australia' is the wordplay.
'awfully' indicates an anagram.
'going round' means one lot of letters goes inside another (some letters go around others).
'australia' becomes 'oz' (informal name for Australia).
'idly' is an anagram of 'dily'.
'dily' going around 'oz' is 'DOZILY'.

'and' acts as a link.

Can you help me to learn more?

(Another definition for dozily that I've seen is " In sleepy, slow-witted, way".)

I've seen this clue in The Times.

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