In hurry, sweeper missing header (4)
I believe the answer is:
rush
'in hurry' is the definition.
'rush' can be an answer for 'hurry' (synonyms). I'm not certain of the 'in' bit.
'sweeper missing header' is the wordplay.
'sweeper' becomes 'brush' (something which sweeps).
'missing header' means to remove the first letter.
'brush' with its first letter taken away is 'RUSH'.
(Other definitions for rush that I've seen before include "Charge" , "Spate" , "Speed along - waterside plant" , "Sudden flow of liquid" , "Move fast or attack suddenly" .)