Almost the nattiest variety of material (7)

I believe the answer is:

satinet

'material' is the definition.
(fabric similar to satin)

'almost the nattiest variety' is the wordplay.
'almost' means to remove the last letter (most of the word but not all of it).
'variety' indicates anagramming the letters.
'nattiest' with its final letter removed is 'natties'.
'natties' is an anagram of 'SATINET'.

'of' is the link.

(Another definition for satinet that I've seen is " smooth material".)

I've seen this clue in The Irish Independent.

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