Crossword Genius

Every MP has one small worry (4)

Ross

I believe the answer is:

seat

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'every mp' is the definition.
Although both the answer and definition are singular nouns, I don't see how they can define each other.

'one small worry' is the wordplay.
'one small' becomes 's' (abbreviation - e.g. clothes size).
'worry' becomes 'eat' (something worrying may eat someone up).
's'+'eat'='SEAT'

'has' acts as a link.

Can you help me to learn more?

(Other definitions for seat that I've seen before include "Chair, bench, or stool, say" , "A manner of sitting on horse" , "Spanish car" , "Parliamentary constituency" , "Settle in" .)

I've seen this clue in The Times.
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