Fuzz getting to the bottom of hoax abduction (6)
I believe the answer is:
kidnap
'abduction' is the definition.
'fuzz getting to the bottom of hoax' is the wordplay.
'fuzz' becomes 'nap' (nap can refer to a piece of fuzzy fabric).
'getting to the bottom of' says to put letters next to each other.
'hoax' becomes 'kid'.
'nap' after 'kid' is 'KIDNAP'.
(Other definitions for kidnap that I've seen before include "deprive it of liberty" , "Seize by force to get ransom" , "Take person prisoner for ransom" , "Small island" , "Seize and hold for ransom" .)