Coach correctly left for the house (5,5)
I believe the answer is:
stage right
'left for the house' is the definition.
(stage right is left to the audience or house)
'coach correctly' is the wordplay.
'coach' becomes 'stage' (stagecoach).
'correctly' becomes 'right' (synonyms).
'stage'+'right'='STAGE RIGHT'
(Other definitions for stage right that I've seen before include "That's left to the patrons" , "dramatic direction" , "Where player can appear" , "One side for actors" , "One side of the house" .)