My thoughts on chins/dips should be pretty well established by now, but I still have yet to see a compelling argument of why dips or chins are somehow not subject to the exact same principles which drive up every other lift. I.e. tight technique with heavy weights in which you lift heavier weights over time (assuming technique stays tight).
There's no reason dips have to "fall apart" any more than any other lift. Be disciplined and keep form consistent, and you're fine adding weight as early as you want.