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No service for the high churchman? (3,4)

Ross

I believe the answer is:

low mass

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This clue could be a double definition.

'no service' is the first definition.
'low mass' can be an answer for 'service' (I have seen 'simple service' mean 'low mass' so perhaps 'service' could also mean 'low mass'). I'm unsure of the 'no' bit.

'high churchman?' is the second definition.
Both the answer and definition are singular nouns.
Maybe they are linked in a way I don't understand?

'for the' is the link.

Can you help me to learn more?

(Other definitions for low mass that I've seen before include "What a lightweight has" , "Simple RC service" .)

I've seen this clue in The Irish Independent.
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