Google Earth Engine: Clip ImageCollection with a grid (FeatureCollection) into several segments

Question

I want to clip an ImageCollection with a grid (FeatureCollection) in Google Earth Engine. Every image in the ImageCollection should be clipped with every feature in the FeatureCollection. I need all images as separate segments for further calculations. Therefore, the result should be a new ImageCollection with each image segment including all properties of the original ImageCollection.

I work with Sentinel-1 images (SAR) and generated a grid over my study area. The clipping between the ImageCollection and the grid works (see Code snippet or the link for the GEE script). My problem is that I don't know how I can address the several image segments now for further processing.

var imagecollection = Sent1;
var featurecollection = grid;


var clip_fc = function(col) {
  return col.clipToCollection(featurecollection);
};
var map_ic = imagecollection.map(clip_fc);

print ('New ImageCollection:', map_ic);
Map.addLayer(map_ic, imageVisParam, 'New ImageCollection');

https://code.earthengine.google.com/?scriptPath=users%2Fbwagner%2Fpublic%3AClip%20ImageCollection%20with%20grid

Does anyone have an idea? I'm not that advanced with JavaScript and short explanations or links would be very helpful as well!