Keep quiet about husband of salty individual showing laziness (5)
I believe the answer is:
sloth
'laziness' is the definition.
(I know that laziness can be written as sloth)
'keep quiet about husband of salty individual' is the wordplay.
'keep quiet' becomes 'sh' (as in shushing someone).
'about' indicates putting letters inside.
'husband of salty individual' becomes 'Lot' (Lot's wife turned to salt in the Bible).
'sh' enclosing 'lot' is 'SLOTH'.
'showing' acts as a link.
(Other definitions for sloth that I've seen before include "one of a deadly group" , "Indolence" , "One's often suspended from tree" , "Inertia" , "one of a deadly collection" .)