Filter list I'd assembled (6)

I believe the answer is:

distil

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'filter' is the definition.
Although both the answer and definition are verbs in their base form, I can't see how they can define each other.

'list i'd assembled' is the wordplay.
'assembled' indicates an anagram.
'list'+'id'='listid'
'listid' with letters rearranged gives 'DISTIL'.

Can you help me to learn more?

(Other definitions for distil that I've seen before include "It slid (anag.)" , "Vaporise and condense" , "Extract the essential meaning of" , "Make more concise" , "Purify by vaporising" .)

I've seen this clue in The Guardian.

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