Day in court? (4)
I believe the answer is:
date
This clue is a double definition.
'day' is the first definition.
(date is a kind of day)
'court?' is the second definition.
(romantically pursue)
'in' is the link.
(Other definitions for date that I've seen before include "one's arranged to meet" , "Romantic assignation" , "Day, month and year" , "Sticky fruit" , "6 [TREE]" .)