I assume you are using startDrag for your cursor?
You cant have more than one clip dragging using startDrag at any given time. Instead, use this code for your cursor:
onClipEvent(load){
Mouse.hide();
}
onClipEvent(mouseMove){
_x = _parent._xmouse;
_y = _parent._ymouse;
updateAfterEvent();
}
onClipEvent(unload){
Mouse.show();
}