Crossword Genius

Get single to go around Rome first-class if going back again (4,4)

Ross

I believe the answer is:

once more

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'again' is the definition.
(synonyms)

'get single to go around rome first-class if going back' is the wordplay.
I cannot quite see how this works, but
'around' could be 'o' (a round letter) and 'o' is found in the answer.
an anagram of 'rome' is 'emor' which is located in the answer.
'first-class' could be 'c' (1st letter of 'class') and 'c' is found in the answer.
The remaining letters 'ne' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Another definition for once more that I've seen is " Again".)

I've seen this clue in The Irish Times.
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