Scorer getting runs after live game's start (4)
I believe the answer is:
berg
'scorer' is the definition.
(20th Century Austrian composer)
'runs after live game's start' is the wordplay.
'runs' becomes 'r' (cricket abbreviation).
'after' says to put letters next to each other.
'live' becomes 'be' (synonyms).
'start' says to take the initial letters.
The initial letter of 'games' is 'g'.
'r' after 'be' is 'ber'.
'ber'+'g'='BERG'
'getting' is the link.
(Other definitions for berg that I've seen before include "Viennese composer" , "Mountain (in German, South African)" , "ice in the drink" , "South African hill - Austrian composer" , "One who scored" .)