Ms Jones who is a co-chair of the All Party Parliamentary Group for charities, said: "We have seen one tiny change thanks to charities and other groups protesting loudly, but there are still major issues with the bill.
Speaking in the House of Commons yesterday (Tues), Ms Jones said: "Our tradition of charities being allowed to campaign on political issues germane to their charitable activities is at the heart of British life and our democracy.
"It been established in case law since 1917, a year before universal male suffrage. Well before women had the vote, Lord Normand, in the case of Bowman V Secular Society, held that a society whose predominant aim was not to change the law could be charitable when its campaign to change the law was merely a subsidiary activity.
"That tradition has a long pedigree in this country and I do not believe that it should be for tinkering politicians, perhaps fearful of the impact of Cameron and Clegg Non-Mania in 2015, to play with it."