Calm court following second half of case (6)
I believe the answer is:
sedate
'calm' is the definition.
(synonyms)
'court following second half of case' is the wordplay.
'court' becomes 'date' (romantically pursue).
'following' says to put letters next to each other.
'second half of' indicates taking half (the back or second half of the word).
'case' with half the letters taken is 'se'.
'date' after 'se' is 'SEDATE'.
(Other definitions for sedate that I've seen before include "Unexciting" , "Leisurely" , "Unhurried; drug" , "Quiet and dignified" , "Calm, not lively" .)