Implore another person to get lost (6)
I believe the answer is:
begone
'get lost' is the definition.
(I've seen this before)
'implore another person' is the wordplay.
'implore' becomes 'beg' (synonyms).
'another person' becomes 'one' (one can mean an individual).
'beg'+'one'='BEGONE'
'to' acts as a link.
(Other definitions for begone that I've seen before include "Archaic injunction to go away" , "get lost" , "Archaic word of dismissal" , "Take a hike" , "Archaic command to go away, banish" .)