Hi Brist,
You say that your newly skimmed ceiling,now a week old has some long hairline cracks in it.First of all,what kind of ceiling is it,plasterboard,lath and plaster? If it is plasterboard, and as you said the ceiling was artexed before,then maybe the hairline cracks were there all the time and because of the texture you might not have noticed them.Now that the ceiling is flat, and you have painted it,you will see them more clearly.
Regards