There will be an Open Day at Besthorpe Quarry on Sunday 24 July with site tours and a finds display as part of the CBA's Festival of British Archaeology (though I can't find it listed on their website!).
Later in the summer, Nottingham County Council's Community Archaeologists will be running further open days and a community dig at the Mons Pool part of the site.
Further information and contact details are available on the Nottinghamshire County Council website. A press release on the work done here by Salford University's Centre for Applied Archaeology has been published on the Lafarge website.