Last pair leaving Anglican service regardless (4,2)

I believe the answer is:

even so

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

I don't understand the rest of the clue.

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(Other definitions for even so that I've seen before include "anyway" , "'Nevertheless (4,2)'" , "however" , "yet" , "Although that is the case, nevertheless" .)

I've seen this clue in The Times.

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