Ok, here's my definition of "vetting".
(Because of Barack Obama's loss of a key player on his Vice Presidential Vetting Committee, and because of a quirk in Google's page rankings, people are coming to this site WANTING ANSWERS.)
Vetting - to appraise, verify, or check for accuracy, authenticity, validity, etc.: An expert vetted the manuscript before publication. –verb (used without object) That's dictionary.com speaking.
The word is now used more often to determine if there's any inappropriate stuff in someone's background that would disqualify them from getting elected. Here are some examples.
George McGovern did not do enough vetting when he selected Thomas Eagleton to be his V.P. running mate in 1972. It turns out that Eagleton had sought psychiatric help for depression. Eagleton was dropped from the ticket.
Hillary Clinton claims that she's been thoroughly vetted as a result of enduring Whitewater, CattleFuturesGate, TravelGate, Vince Foster Dying For Your Sins, MonicaGate, Gennifergate, SniperGate, Moving Out Of The White House Like White Trash Leaving A Motel Six Gate, and all the ones I've forgotten.
Lord, I hope she's vetted by now. I don't see how there's room for any more scandals to be vetted in one lifetime.
In 1988, Democratic Presidential candidate Gary Hart opened himself up for intense vetting by telling reporters who had asked about rumors of extramarital affairs "Follow me around. I don't care. I'm serious. If anybody wants to put a tail on me, go ahead. They'll be very bored."
When the reporters got through vetting him, they had discovered an extramarital affair.
George W. Bush's drunk driving arrest was not discovered until late in the 2000 campaign. Many critics say he should've been vetted more closely.
Clarence Thomas was over-vetted, and shocking comments about pubic hairs on Coke cans were discovered.
This definition has been a public service of The Whited Sepulchre Outreach Ministry.
I'm sure that Comment Field Users can come up with others.