Former PM in paradise (4)
I believe the answer is:
eden
This clue is a double definition.
'former pm' is the first definition.
(Anthony Eden, UK prime minister 1955-1957)
'paradise' is the second definition.
(Garden of Eden)
'in' is the link.
(Other definitions for eden that I've seen before include "The best of all gardens" , "Idyllic garden" , "Old PM" , "Cornish garden; paradise" , "Leading 11 [CONSERVATIVE]" .)