PRINCE Harry's romance with Chelsy Davy is on the rocks, with the Zimbabwean-born university student ready to leave Britain.Davy is believed to be heading to Cape Town because she cannot get used to the freezing autumn weather in Leeds, where she recently began a law degree. The 22-year-old is reported to have had problems making friends in Leeds since moving there two months ago and has been worried about her safety. Her three-year relationship with the 23-year-old prince has cooled, with Davy said to be unhappy with his playboy lifestyle and lack of commitment to their relationship.