Following trouble, Peter's bound to succeed (4-4)
I believe the answer is:
fail-safe
'bound to succeed' is the definition.
(fail-safe means guaranteed to work)
'following trouble peter's' is the wordplay.
'following' becomes 'f' (used when citing page numbers etc).
'trouble' becomes 'ail' (synonyms).
'peter' becomes 'safe' (slang term).
'f'+'ail'+'safe'='FAIL-SAFE'
(Other definitions for fail-safe that I've seen before include "Designed never to stop working" , "Designed to prevent accidents in the case of malfunction" , "It ensures a return to a safety when something goes wrong with a mechanism" , "Unlikely to go wrong" , "Device to ensure proper operation" .)