"Sticky" jarrah table surface

Hi all. I have a 20 year old jarrah dining setting. I think the original surface is a polyethylene coating. It has had lots of Mr Sheen on it over the years. It is now quite "sticky". Forearms, newspapers & magazines stick to the surface. Can I use a solvent to fix this, or is it time for a strip, sand & refinish?

Cheers, Mike