I would assume a President knows his running mate fairly well, but I wonder if any of them actually got to the finish line and once they started their work realized they couldn't stand each other?
Would be curious to know about specific events that might have caused rifts, if there are any.
Thank you all very much in advance for taking the time to answer my question!
EDIT: Just wanted to thank all of you for your responses! I really appreciate the insight, and apparently I am watching too much House of Cards... :)
So you have Spiro Agnew who resigned as Nixon's Vice President in 1973 after allegations of bribery while he was Governor of Maryland, John C Calhoun who resigned as Jackson's Vice President after the Petticoat affair in which members of Jackson's cabinet got in a very public spat over Peggy Timberlake re-marrying soon after her husband's death.
For non-serving VP nominees, we have Thomas Eagleton, who was replaced as McGovern's running mate in 1972 after his severe depression was discovered.
As for Vice Presidents that did not get along while in office with the President, there are far too many to count. John Nance Garner, after serving as Vice President from 1931 to 1941 under FDR, famously describes the Vice Presidency as "not worth a bucket of warm piss," which fairly describes the influence of the position for much of American history and thus how unnecessary a good relationship between the two halves of the ticket really is.
John Adams and Thomas Jefferson did not get along at all during Adams Presidency. Thomas Jefferson went behind Adams back during the passage of the Alien and Sedition Acts to work on the Kentucky and Virginia Resolutions which basically said that the states could nullify anything the federal government passed if the individual state deemed it unconstitutional.
If you read David McCullough's John Adams, you can watch how the relationship between Adams and Jefferson deteriorates starting with their joint duty in France during the revolution, to their reconciliation in 1812 were they sent frequent correspondences to each other.
Poor relationships between a President and Vice President seemed to the be the norm in the early republic rather than the other way around. This stems from the initial conception of the Vice President being the runner up in the election, the Vice President having little defined power, the Vice President's frequent desires to be President conflicting with the President's own agenda, and the fact that the Vice President was often an in-party rival who had a poor relationship with the president from the get go. Vice Presidents who actually got a long with their Presidents is probably largely limited to Van Buren and Gerry(through the end of Jackson's presidency). In Gerry's case he promptly died, was viewed as too old to likely follow in Madison's footsteps anyway, and had been a friend of Madison for decades. Van Buren replaced Calhoun as Jackson's Vice President, and became his anointed successor while maintaining sizable political influence of his own largely devoted to supporting Jackson policies. Thompkins and Monroe wasn't particularly bad, but Tompkins was largely ignored(outside of maybe playing a role in the Missouri compromise) and became an alcoholic.