One teaching acting ability that moves people? (10)
I believe the answer is:
stagecoach
'that moves people?' is the definition.
(type of horse-drawn carriage)
I don't understand how the remainder of the clue works.
(Other definitions for stagecoach that I've seen before include "one that moved people" , "Large horse-drawn vehicle used to carry passengers and mail" , "John Wayne film; passenger vehicle" , "Travelling" , "Picture of Ford's" .)