Prudence, the Nazi organisation's pet (6)

I believe the answer is:

caress

'pet' is the definition.
(I've seen this before)

'prudence the nazi organisation's' is the wordplay.
'prudence' becomes 'care' (I've seen this in another clue).
'the nazi organisation' becomes 'ss' (Schutzstaffel - Hitler's paramilitary organisation).
'care'+'ss'='CARESS'

(Other definitions for caress that I've seen before include "Stroke fondly" , "Gentle loving touch" , "Stroke affectionately" , "pet[s]" , "Stoke affectionately" .)

I've seen this clue in The Guardian.

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