Prosecutor on TV standing up for courts (5)
I believe the answer is:
dates
'courts' is the definition.
(romantically pursues)
'prosecutor on tv standing up' is the wordplay.
'prosecutor' becomes 'da' (D.A. is an example).
'on' says to put letters next to each other.
'tv' becomes 'set' (I've seen this in other clues).
'standing up' says the letters should be written backwards (in a down clue up is reverse order).
'set' back-to-front is 'tes'.
'da'+'tes'='DATES'
'for' acts as a link.
(Other definitions for dates that I've seen before include "Meetings arranged in advance" , "Particular times" , "Palm fruit" , "Sweet edible fruits of a palm" , "Occasions" .)