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There are a lot of good points made in the postings so far.
I'll just add that C14 would certainly not be the only option to put an age on such an object, and that establishing an age would probably come indirectly, through dating the sediments found over the object.
We know pretty much all the characteristic tools for every prehistoric culture in Europe, and when and approximately where they existed.
If one finds a big biface ("hand axe"), he can consider that particular tool is probably Mousterian, and thus grossly between 300,000 to 40,000 years old.
However, if you only find flakes with no particular detail, you can't really conclude anything.
The way archaeologists date stone tools and the like is through their context.
So, for example, if a stone tool is found in situ with something organic like charcoal or bone, it can be carbon dated.