Immorality has a strong grip! (4)
I believe the answer is:
vice
This might be a double definition.
'immorality' is the first definition.
(vice can mean immoral behaviour)
'a strong grip' is the second definition.
'vice' can be an answer for 'grip' (I've seen this before). I'm not certain of the 'a strong' bit.
'has' is the link.
Can you help me to learn more?
(Other definitions for vice that I've seen before include "person to stand in for skipper" , "Bad habits" , "Sin, depravity" , "Wrong" , "Gripper -- fault" .)