It's a quick dance, but any movement should always feel under control, and the dancers should be properly balanced.
There should be a feel of moving on, along LOD, at the end of every progressive figure, so no 'holding on' to the last S of any figure, but allow the body to continue to move forward, so that the first step of the next figure is inevitable and necessary.
Finding the 'balance' (pun not really intended) between my two suggestions, so that they are not contradictory, is the secret to developing quickstep style.
At a lower level, do not 'skip' the close of any chasse - a truly dreadful beginner fault that not enough teachers correct.