The first time I heard of this being noticeable on a human timescale was the movie Interstellar. But I don't no think in real life there is that much of a difference between the rate at which time passes near a large mass.
This answer on Quora says the rate at which time passes on Jupiter is only a few nanoseconds off compared to Earth.
https://www.quora.com/Will-time-pass-slower-if-we-go-to-Jupi...