Paradise endlessly gives lift (5)
I believe the answer is:
heave
'lift' is the definition.
(I know that lift is a kind of heave)
'paradise endlessly' is the wordplay.
'paradise' becomes 'heaven' (synonyms).
'endlessly' means to remove the last letter.
'heaven' with its final letter taken away is 'HEAVE'.
'gives' is the link.
(Other definitions for heave that I've seen before include "Pull hard; (sea) swell" , "Lift or throw with great effort" , "Throw, hurl" , "past Hove" , "Be sick; rise and fall" .)