It does appear to have a flute on one side, but it is hard to tell for sure by the pictures posted.I cannot tell from the photo if there is a fluted base or not.
Can you determine this and let us know if there is or is not a flute?
A flute or lack of a flute would be an indicator to the time period.
With a flure points to a paleo period, a lack of a flute points to a transitional paleo period.