Grasping news boss carried by horse (6)
I believe the answer is:
greedy
'grasping' is the definition.
(I know that grasping can be written as greedy)
'news boss carried by horse' is the wordplay.
'news boss' becomes 'ed' (I've seen this in other clues).
'carried by' means one lot of letters goes inside another.
'horse' becomes 'grey' (I've seen this before).
'ed' going into 'grey' is 'GREEDY'.
(Other definitions for greedy that I've seen before include "Avaricious and acquisitive" , "Keen" , "Having a voracious appetite" , "Overeating" , "pig!" .)