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Eating
out
as
an
artistic
activity
(7)
Eating out as an artistic activity (7)
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The whole clue is the definition (& lit or double definition).
How the clue works
The whole clue is a cryptic definition of Eating out as an artistic activity, describing ETCHING. In etching, acid literally eats out (corrodes) the design into the metal plate, making it an artistic activity of 'eating out'.