Batting's cut short after appeal for a new start (9)
I believe the answer is:
beginning
'a new start' is the definition.
(the start or beginning of something)
'batting's cut short after appeal' is the wordplay.
'batting' becomes 'innings' (cricket).
'cut short' means to remove the last letter.
'after' says to put letters next to each other.
'appeal' becomes 'beg' (I've seen this in other clues).
'innings' with its final letter taken away is 'inning'.
'inning' put after 'beg' is 'BEGINNING'.
'for' is the link.
(Other definitions for beginning that I've seen before include "Start" , "Commencement" , "Used hands clumsily" .)