Standard archaeological techniques make it possible to determine the age of anything containing vegetable matter, but only if the object is free of minerals containing carbon  Prehistoric artists painted on limestone with pigments composed of vegetable matter, but it is impossible to collect samples of this prehistoric paint without removing limestone, a mineral containing carbon, with the paint
Ttherefore, it is not possible to determine the age of prehistoric paintings on limestone using standard archaeological techniques
The age of the limestone itself can be determined from samples that contain no vegetable-based paint.