Had an encounter with the police? (3)
I believe the answer is:
met
I believe this clue is a double definition.
'had an encounter' is the first definition.
'the police?' is the second definition.
(London Metropolitan Police)
'with' is the link.
(Other definitions for met that I've seen before include "Came across - police in London" , "Made a connection" , "Encountered, came across" , "Encountered, came into contact" , "satisfied" .)