Faucet annoyance (4)
I believe the answer is:
drip
'faucet annoyance' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for drip that I've seen before include "Weed - seep" , "Dribble" , "As a tear appears" , "Flow in small drops" , "Fall in drops - weedy bloke" .)