Is your existing plastering good or does it need repairing ?
When you say skim, do you mean another coat of lime plaster or a modern multi-finish material ?
Lime wash is just applied to the lime render for decorative purpose and to seal very minor cracks, if you remove the plaster you wil have nothing to put it on :wink:
If you want to apply another coat of rendering plaster over the existing, the eisting render should be "scratched" to form a "key" for the new stuff.
also any existing lime wash should be completely washed off.
Limewash is quite useful for holding old ceilings together whre there is cracking and pitting but the majority of the plaster is still holding well to the laths.
Ideally you need to slap on four or so coats of very thin stuff and there should be impervious paint already up there - it will permeate into the cracks and fill in all the voids in the plaster and leave you with a much stronger ceiling with much sounder surface.
Wherever possible you should keep the existing plaster as it's the messiest job in the world to remove, and it isn't cheap to replace properly. Even apparently knackered plaster is usually salvageable - often by tackling it from behind, but that's anotehr story...