I use leaflet markercluster along with the ui slider (modified so it can handle a markercluster group as a entry layer, see How to use leaflet slider along with markercluster in Javascript?).
I managed to make it work except "time" is not sorted in my slider. I don't know what rule SliderControl.js follows to sort the markers but it seems random to me. My data variable (Data_GL) is well time sorted and I specified "timeStrLength: 10" in SliderControl.js.
Here's my code :
var sliderControl = null;
var map = L.map('map').setView([23, 2], 3);
map.options.maxZoom=13;
var osmUrl='http://{s}.tile.openstreetmap.org/{z}/{x}/{y}.png';
var osmAttrib='Map data © OpenStreetMap contributors';
L.tileLayer(osmUrl, {attribution: osmAttrib, id: 'mapbox.streets'}).addTo(map);
var markers = L.markerClusterGroup();
markers.addTo(map);
//Filling layer
var mapdata=Data_GL;
for (var i = 0; i < mapdata.length; i++) {
var marker = L.marker([mapdata[i].latitude,mapdata[i].longitude],{title: mapdata[i].Platform,icon: cssic0,time: mapdata[i].time});
marker.bindPopup(mapdata[i].Platform + "<br><b>Type </b>: " + mapdata[i].mtype + "<br><b>Last Update </b>: " + mapdata[i].time);
console.log(marker.time);
marker.addTo(markers);};
//Slider
var sliderControl = L.control.sliderControl({layer:markers , range:true});
map.addControl(sliderControl);
sliderControl.startSlider();
Data_GL looks like that :
var Data_GL = [
{"latitude":37.783380,"longitude":15.956680,"mtype":"GL","Platform":"61283","time":"2005-02-21"},
{"latitude":37.864970,"longitude":15.826730,"mtype":"GL","Platform":"61282","time":"2005-02-25"},
{"latitude":47.639170,"longitude":-8.469670,"mtype":"GL","Platform":"62595","time":"2006-03-12"},
{"latitude":59.562670,"longitude":-39.745000,"mtype":"GL","Platform":"64556","time":"2006-08-24"},
...
I tried this solution (http://jsfiddle.net/nathansnider/ngeLm8c0/4/) but I don't really know how to apply it to a markercluster group.