The idea is a sort of non-partisan "un-PAC" -- a fundraising organization explicitly dedicated to combating corporate political donations. If a presidential candidate or his affiliated PACs recieved eg. $5MM in fundraising from oil executives, the un-PAC would spend $5MM on negative advertising linking him in the public's mind with that industry. If the un-PAC raised enough money, eventually a large multiple of corporate donations could be spent counteracting them, and at some point it would become uneconomical for politicians to accept those donations at all.
We spent about $6B on the 2016 federal elections (https://www.opensecrets.org/overview/cost.php). That comes out to about $20 for every American. That's a big number to beat, but not impossible, and every bit along the way helps.