This heart-breaking world (5)
I believe the answer is:
earth
'world' is the definition.
('Earth' can be a synonym of 'world')
'this heart-breaking' is the wordplay.
'heart' anagrams to 'EARTH'.
Though, I am not sure how this is indicated.
Can you help me to learn more?
(Other definitions for earth that I've seen before include "electrical safety precaution" , "Where some creatures live" , "Soil; electrical ground" , "Connection between an electrical device and conductor" , "Third planet from the Sun" .)