From the tutorial:
// ..before main loop
TEntity head=FindChild(mesh,"Bip01 Head");
...
// inside game loop
if (KeyDown(KEY_LEFT)) { TurnEntity(head,Vec3(0,0.5,0));}
if (KeyDown(KEY_RIGHT)) { TurnEntity(head,Vec3(0,-0.5,0));}
if (KeyDown(KEY_UP)) { TurnEntity(head,Vec3(0.5,0,0));}
if (KeyDown(KEY_DOWN)) { TurnEntity(head,Vec3(-0.5,0,0));}
Try to call TurnEntity before or after the Animate call.