Heave big container alongside church (5)
I believe the answer is:
churn
'heave' is the definition.
(I've seen this before)
'big container alongside church' is the wordplay.
'big container' becomes 'urn' (I've seen this in another clue).
'alongside' says to put letters next to each other.
'church' becomes 'ch' (abbreviation on maps etc).
'urn' after 'ch' is 'CHURN'.
(Other definitions for churn that I've seen before include "Shake" , "Large milk vessel" , "Stir violently - to make butter?" , "Stir vigorously" , "Kind of barrel in which butter in made" .)