Allowing partial reveal of X pixels of the next slide in a Slick-slideshow through the 'setPosition' event.

slick.revealPartialSlide.js

function revealPartialSlide(padding) {						// Padding (amount of the next slide you want to reveal)
	var $slides 	= $('.element').find('.slick-slide')			// Find the slides
	,slideCount 	= $slides.length					// Grab the amount of slides
	,slidesToShow 	= $('.element').slick('getOption','slidesToShow')	// Grab the 'slidesToShow' number
	,slideWidth 	= $slides.outerWidth()					// Get the width of the slides (as calculated by Slick)
	,newWidth 	= Math.round(slideWidth - (padding / slidesToShow))	// Calculate the new width

	// If less slides than you want to show, do nothing....
	if(slideCount < slidesToShow) {
		return false;
	}

	// Re-calculate the width of '.slick-track'...
	$('.element').find('.slick-track').css({
		width: newWidth * slideCount
	});

	// Set the new width on each slide...
	$slides.each(function() {
		$(this).css({
			width: newWidth
		});
	});
}

// Run function on 'setPosition'-event.
// Means it'll work with responsive slideshows as well, as far as my testing goes.

$('.element').on('setPosition',function(slick) {
	revealPartialSlide(50);
});

Sorry for my late reply. This looks like something I could use. I will let you know if it works.