Ran into this conflict on our project. We're using the JQuery UI datepicker for a calendar control. After Timecop.install() is called, the datepicker will no longer "show". As soon as Timecop.uninstall() is called, the seemingly-batched show commands to the datepicker finally get sent and the calendar control shows.
Timecop.install();
$("#search_case_filed_start_date").datepicker("show"); // does not show, no exceptions or JS errors shown in browser
Timecop.uninstall(); // finally shows after uninstall