Port can make you lithe! (5)

I believe the answer is:
leith
'port' is the definition.
(I've seen this before)
'can make you lithe' is the wordplay.
'can make you' is an anagram indicator.
'lithe' anagrammed gives 'LEITH'.
(Other definitions for leith that I've seen before include "Port of Edinburgh" , "Scottish port" .)
I've seen this clue in the Evening Standard.
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