Call for more heart, chasing points (6)
I believe the answer is:
encore
'call for more' is the definition.
(I've seen this before)
'heart chasing points' is the wordplay.
'heart' becomes 'core' ('core' can be a synonym of 'heart'**).
'chasing' says to put letters next to each other.
'points' becomes 'en'.
'core' after 'en' is 'ENCORE'.
(Other definitions for encore that I've seen before include "extra performance" , "Repeat performance, please" , "We need more" , "Call for additional performance" , "Request to sing it again" .)