Case of lascivious American with Epstein essentially filling cravings (5)
I believe the answer is:
lusts
'cravings' is the definition.
(I've seen this in another clue)
'case of lascivious american with epstein essentially filling' is the wordplay.
'case of' means to remove the middle letters (outsides of).
'american' becomes 'US' (abbreviation for United States).
'with' means one lot of letters go next to another.
'essentially' means to look at the middle letters.
'filling' indicates putting letters inside.
'lascivious' with its centre removed is 'ls'.
The centre of 'epstein' is 't'.
'us'+'t'='ust'
'ls' placed around 'ust' is 'LUSTS'.
(Another definition for lusts that I've seen is " has desire".)