Landed on beach tired, having completed domestic chore (6,2)

I believe the answer is:

washed up

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'completed domestic chore' is the definition.
'washed up' can be an answer for 'completed' (thesaurus). I'm not sure about the 'domestic chore' bit.

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for washed up that I've seen before include "Finished (the dishes?)" , "Defeated or failed - left on shore? (6, 2)" , "Did kitchen duty" , "Gone to seed - did the dishes" , "Defeated, failed - or cleaned dishes" .)

I've seen this clue in The Irish Times.

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