Go read the entire CMC page.
CMC uses client side prediction. If your moves result in a different position greater than n MOR, the server will correct.
There are two types of correction.
Soft, small/short distance changes result in an interpolated (smoothed out) correction over many frames.
Hard, large distance changes result in a full teleport and state update.
Jitter/choppy movement is the server resetting your clients invalid position and state to match its correct position and state.