Down in a pillow? Some (3)
I believe the answer is:
nap
'down' is the definition.
(close in meaning in sense of hairy surface)
'in a pillow? some' is the wordplay.
'some' indicates the answer is hidden within the clue.
'NAP' can be found hidden inside 'in a pillow'.
(Other definitions for nap that I've seen before include "Sleep briefly" , "A brief sleep, forty winks" , "Quick sleep; raised pile" , "Take forty winks" , "Racing tip that professes to be a certainty" .)