Index: wp-includes/css/media-views.css
===================================================================
--- wp-includes/css/media-views.css	(revision 26714)
+++ wp-includes/css/media-views.css	(working copy)
@@ -84,8 +84,19 @@
 .ui-sortable,
 .ui-draggable {
 	-ms-touch-action: none;
+	touch-action:     none;
 }
 
+.meta-box-sortables.ui-sortable {
+	-ms-touch-action: auto;
+	touch-action:     auto;
+}
+
+.meta-box-sortables.ui-sortable .hndle {
+	-ms-touch-action: none;
+	touch-action:     none;
+}
+
 /**
  * Modal
  */
Index: wp-admin/css/wp-admin.css
===================================================================
--- wp-admin/css/wp-admin.css	(revision 26714)
+++ wp-admin/css/wp-admin.css	(working copy)
@@ -11181,8 +11181,21 @@
 .ui-sortable,
 .ui-draggable {
 	-ms-touch-action: none;
+	touch-action:     none;
 }
 
+.meta-box-sortables.ui-sortable,
+.menu.ui-sortable {
+	-ms-touch-action: auto;
+	touch-action:     auto;
+}
+
+.meta-box-sortables.ui-sortable .hndle,
+.menu.ui-sortable .menu-item-handle {
+	-ms-touch-action: none;
+	touch-action:     none;
+}
+
 /* Accordion */
 
 .accordion-section {