East Fife snatched a dramatic late winner to stun hosts Berwick 3-2 in League Two.Rangers goalkeeper Allan Fleming was called into action early on as he parried away Ross Drummond's stinging effort.The visitors then saw a header cleared off the line before the game exploded into life after half-time.Midfielder Allan Walker nodded Fife ahead after 69 minutes when he met midfielder Fraser Mullen's pinpoint free-kick.Berwick substitute Scott Dalziel made an instant impact from the bench after his knock-down was smashed into the net by striker Darren Lavery.Kevin Smith wrestled back the initiative for the visitors in the 85th minute when he curled a free-kick into the top corner before Lavery grabbed his second after a goalmouth scramble five minutes later.Fife were not to be denied, though, as they went straight down the other end to snatch a winner when Jonathan Page reacted quickest from a corner deep into injury time.