Begrudge messenger dropping ball (4)
I believe the answer is:
envy
'begrudge' is the definition.
('envy' can be a synonym of 'begrudge')
'messenger dropping ball' is the wordplay.
'messenger' becomes 'envoy' (I've seen this before).
'dropping' suggests deleting specific letters.
'ball' becomes 'o'.
'envoy' with 'o' removed is 'ENVY'.
(Other definitions for envy that I've seen before include "Jealousy, resentment" , "Bad feeling" , "8 [BEGRUDGE]" , "Desire as a rival" , "Resentment at another's success" .)