A new tiresome task cut short for news presenter (6)
I believe the answer is:
anchor
'news presenter' is the definition.
(I know that news presenter can be written as anchor)
'a new tiresome task cut short' is the wordplay.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'tiresome task' becomes 'chore' (a chore is a boring job).
'cut short' means to remove the last letter.
'chore' with its last letter taken away is 'chor'.
'a'+'n'+'chor'='ANCHOR'
'for' acts as a link.
(Other definitions for anchor that I've seen before include "TV presenter" , "Member of relay team" , "Horse-breeding farm" , "Ship's mooring device" , "Securely fasten" .)