For the next fourteen weeks or so, access to Chilworth from the Stoneham direction may be problematic. There are major works at the junctions of Stoneham Lane, Stoneham Way and Thomas Lewis Way. Full details are on Southampton City Council’s website, here.
Also… between now (starting with the weekend of 29-30 September) and January 2020 there will be a series of major disruptions caused by the demolition and rebuilding of the bridges that carry the A3057 Romsey Rd over the M27 between J3 & J4. More detailed information can be found on the Highways England website here.