I have a tip regarding recompose if you do it after focus lock. As a lowlight shooter with a camera that has a more accurate center point, it is very useful to focus with the high contrast part of the subject with the center point. It is easy to get out of focus with a narrow DOF that comes with shooting wide open with an F1.4-1.8 prime.
Take a look at this geometry:
The green is the subject where you want focus on the edge (could be a face with facial features in front). The big blue circle is the thin in focus strip. the square inside is the camera, and the circle behind it is you. The blue lines circles and camera is when you focus with the center point. The yellow is when you recompose to place the face outside any focus point. (exaggerating everything to show the concept).
Notice that if you turn with your hip or front foot, you turn the camera around yourself, and move the entire focus circle. Now the object is out of focus! Aarghh.
Now, if you has a focus point and it was accurate enough in the light you have available, you could change the active focus point. But in this case not.
Take a look at this geometry:
If you instead practice your body stance to make a step around the camera as you recompose, you keep the focus circle fixed on the subject. This is the kind of epiphany where you want to bang your head because it is so obvious, but keeping it conscious in mind in the heat of battle is what it takes to change the habit of movement.