I'm going to run away from border in disgrace (3,4)
I believe the answer is:
ill fame
'disgrace' is the definition.
(disgrace can mean infamy or notoriety)
'i'm going to run away from border' is the wordplay.
'i'm going to' becomes 'I'll' ('I'm going to' can mean 'I will' or 'I'll').
'run' becomes 'r' (cricket abbreviation).
'away from' is a deletion indicator.
'border' becomes 'frame' (synonyms).
'frame' with 'r' taken away is 'fame'.
'ill'+'fame'='ILL-FAME'
'in' acts as a link.
(Other definitions for ill fame that I've seen before include "celebrity of sorts" , "A house of . . . . . . . is a brothel" , "Disrepute" , "bad report" , "notoriety" .)