There are several issues Trump referred to with regards to getting rid of corruption. In the context of the OP's young person they were referring to, this summarizes what the young person was referring to "Trump: This is our chance to end years of injustice, corruption and betrayal...That's because change has to come from outside of our broken and corrupt system...We will never solve our problems by relying on the politicians who created our problems...A vote for Trump is a vote to restore Democracy". To bad for Trump that he didn't fully realize how powerful the people behind the corrupt system really are.
One post mentioned the lobbyists but failed to mention specifically what Trump was referring to:
"Trump: So I've watched the politicians....they're controlled fully by the lobbyists, by the donors, and by the special interests, fully."
"Trump: It's the powerful protecting the powerful."
Here's just a few of the specific examples of corruption cited by Trump:
"Trump: In this future, we will have an honest government – and that includes an honest State Department, not Pay-For-Play. Government access and favors will no longer be for sale, and important email records will no longer be deleted and digitally bleached."
"Trump: As Secretary of State, Hillary Clinton signed off on a deal allowing Russians to take an increased stake in a company called Uranium One....In exchange for signing off on the deal, some of the former owners of Uranium One gave the Clinton Foundation millions of dollars in donations. In addition, Bill Clinton received $500,000 for a speech to a Kremlin-backed investment firm that was a beneficiary of the deal."
"Trump: In 2009, Ericsson telecommunications came under U.S. pressure for selling telecom equipment to several oppressive governments...In June 2011, Hillary Clinton's state department began adding goods and service to a list that might be covered under expanded sanctions on Iran and other state sponsors of terrorism...During that time, Ericsson sponsored a speech by Bill Clinton, paying him $750,000 – his highest paying speech...In April 2012, the Obama Administration issued an executive order imposing sanctions on telecom sales to Iran and Syria –but those sanctions did not cover Ericsson's work in Iran."
"Trump: No one will be above the law...We will have one set of rules for everyone. In Hillary Clinton's world, we have one set of rules for her – and another set of rules for everyone else."
"Trump: It's clear from the FBI report that Hillary Clinton lied about her handling of confidential information...On 39 separate occasions she said she couldn't recall details about her mishandling of classified information...It's also clear from the FBI report that Hillary Clinton and her top aides knowingly destroyed evidence and covered-up their actions. After her private server was revealed last March, her staff deleted all the emails and wiped it clean using a software designed to prevent any recovery, called BleachBit. They used hammers to destroy phones so they couldn't be turned over later. Hillary Clinton failed to turn over thousands of documents, then tried to shield her criminal conduct by having her chief-of-staff declare herself to be Hillary Clinton's private attorney."
"Trump: Hillary Clinton was using the State Department to dole out special favors and access to her friends and donors. It's called pay-for-play."
"Trump: she put the entire country at risk in order to cover-up her pay-for-play scandals as Secretary of State. These include scandals like giving up our uranium to Russia, doing favors for UBS bank, and selling contracts to friends and family in Haiti."
"Trump: Hillary Clinton has perfected the politics of personal profit and theft. She ran the State Department like her own personal hedge fund – doing favors for oppressive regimes, and many others, in exchange for cash. Then, when she left, she made $21.6 million giving speeches to Wall Street banks and other special interests – in less than 2 years – secret speeches that she does not want to reveal to the public. Together, she and Bill made $153 million giving speeches to lobbyists, CEOs, and foreign governments in the years since 2001. They totally own her, and that will never change."
Tangentially related examples of corruption/dishonesty mentioned by Trump:
"Trump: The Democratic Party has trapped millions of African-American and Hispanic youth in failing government schools that deny them the opportunity to join the ladder of American success. It is time to break-up that monopoly."
"Trump: Yet, our media culture often mocks and demeans people of faith."
"Trump: I have pledged to appoint judges who uphold the Constitution, to protect your religious liberty, and apply the law as written. [cheers and applause] We reject judges who rewrite the Constitution to impose their own person views on 300 million-plus Americans. "
"Trump: Clinton blames it all on a video, an excuse that was a total lie. Our Ambassador was murdered and our Secretary of State misled the nation – and by the way, she was not awake to take that call at 3 o'clock in the morning."
"Trump: We need to respond to this attack on America as one united people – with force, purpose and determination. But the current politically correct response cripples our ability to talk and think and act clearly."
"Trump: Nearly a year ago, the Senate Subcommittee asked President Obama's Departments of Justice, State and Homeland Security to provide the immigration history of all terrorists inside the United States. These Departments refused to comply."