I have two pages. From the first page, I open a modal with a querystring that holds that value of a client name. I then use this to set a hiddenfield on the modal that opene
Try any of the following
If ASP.Net control and javascript both are on same page, then use
var hv = $("#"+ '<%= hidClientField.ClientID %>').val();
If you want to access the control from some JS file, then
// 'id$' will cause jQuery to search control whose ID ends with 'hidClientField'
var hv = $('input[id$=hidClientField]').val();
You can use class name selector to achieve same. Check out this similar question.
In asp.net, controls id is mangled. Because of this your code is not working.
Hope this works for you.