Time loop issue

Hi, everyone.
I have animated a character and added a time loop to have the movement of the legs, body and arms continue to move after the animation is finished. However, I have a problem. I have included within the body file, an animated mouth. When the time loop is activated it ruins the mouth animation.
Is there a way I can make the mouth file unaffected by the time loop while keeping it within the body file ?
thank you so much in advance,

Rather than using one time loop for the whole body, you could loop the body parts separately, using the same time loop attributes in each loop, e.g. group the legs, and apply a loop to the legs group. Do the same for arms, and other body parts.