Lift or haul with effort (5)
I believe the answer is:
heave
I believe this is a double definition.
'lift' is the first definition.
(I know that lift is a more specific form of heave)
'haul with effort' is the second definition.
(I've seen this before)
(Other definitions for heave that I've seen before include "Move with an effort" , "Throw; haul by rope (naut.)" , "cast like this" , "Express" , "past Hove" .)