the short answer
Eccentric loading means putting a muscle under tension while it lengthens, which is the controlled lowering half of almost every lift rather than the phase that drives the weight up. Think of the slow descent as you lower the bar to your chest in a bench press, or the way your quads control your body on the way down into a squat. The muscle is still working hard, but it is resisting and braking the load instead of moving it. Training this phase on purpose, with a slower tempo or heavier negatives, is what coaches mean by eccentric loading, or eccentric training.
This article is general training education, not medical advice. Heavy eccentric work is also used in rehab settings, but that belongs with a qualified professional. If a client is managing a tendon problem, injury or health condition, route them to a physiotherapist or doctor rather than self-prescribing a loading protocol.