They can call themselves Waltonians (7)

I believe the answer is:

anglers

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

I cannot understand how the remainder of the clue works.

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(Other definitions for anglers that I've seen before include "Fishermen" , "People fishing" .)

I've seen this clue in the Evening Standard.

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