Fluff produced by cat lying around next to me (4,2)
I believe the answer is:
mess-up
'fluff' is the definition.
(I know that fluff can be written as mess up)
'cat lying around next to me' is the wordplay.
'cat' becomes 'puss' (puss is a kind of cat).
'lying around' says the letters should be written backwards.
'next to' says to put letters next to each other.
'puss' written backwards gives 'ssup'.
'ssup' after 'me' is 'MESS-UP'.
'produced by' acts as a link.
(Other definitions for mess-up that I've seen before include "Muddle - confusion" , "Handle (something) ineptly" , "Ruin" , "Botch" , "Fiasco" .)