It would take 60 years of skipping yearly leap seconds before we saw even a 1 minute offset.
Prior to 1972, UTC and TAI used different definitions of a second (UTC used a definition based on positions of celestial bodies while TAI used a definition based on the hyperfine transition of cesium, and the two were periodically manually "stepped" back into sync). As of 1972 they use the same definition of the second (TAI's definition, which is also the SI definition), and a final "step" was applied to cause the difference in the two times to be an integer number of TAI seconds. That created an offset of 10 seconds, which has since grown with the addition of 25 (and soon to be 26) positive and zero negative leap seconds to UTC.
That's how long for noon to end up at midnight. Noon would occur at night after only around 22000 years (I'm being fuzzy because people may not all agree on what night means).
buddy, you're only visiting earth for a precious handful of years