Crossword Genius

Watery drink picked up in Thames-side location (9)

Ross

I believe the answer is:

runnymede

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'picked up in thames-side location' is the definition.
I can't judge whether this defines the answer.

'watery drink' is the wordplay.
'watery' becomes 'runny' (I've seen this before).
'drink' becomes 'mede' (I can't explain this - if you can you should believe this answer much more).
'runny'+'mede'='RUNNYMEDE'

Can you help me to learn more?

(Other definitions for runnymede that I've seen before include "Magna Carta signing location" , "Where King John signed Magna Carta in 1215" , "Site of signing Magna Carta" , "Place where Magna Carta was signed" , "Scene of Magna Carta's signing" .)

I've seen this clue in The Times.
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