Hi I know this is late, but you can fix this by using unbind() on the button then bind() a new function for the next/prev slider function, ex:
jQuery('.left-arrow').unbind('click').bind('click', function() {
jQuery('.slideshow').cycle('next');
});
jQuery('.right-arrow').unbind('click').bind('click', function() {
jQuery('.slideshow').cycle('prev');
});
This is how I fixed mine.
Note: unbind() and bind() are deprecated on jquery 3.0,