Is the eye discharge green and stringy? My puppy had that and we tried a steroid ointment which too care of it, but then it came back once we stopped the ointment. Finally they gave us a 2 week supply of Clavamox which cleared it up for good.
It's stringy, but mostly white/clear, sometimes a little green-ish. Did the vet tell you what it was/what causes it?