Look for spot at the back of the carpark (4)
I believe the answer is:
seek
'look for' is the definition.
(synonyms)
'spot at the back of the carpark' is the wordplay.
'spot' becomes 'see' (both can mean to notice or observe).
'at the back of' says to take the final letters (I've seen 'at the back' mean this).
The last letter of 'carpark' is 'k'.
'see'+'k'='SEEK'
(Other definitions for seek that I've seen before include "Hunt, look for" , "'. . . . and ye shall find'" , "Try to locate or reach" , "Attempt - search" , "Ask for (permission)" .)