How To: Filter Lookup Field Values by Current User

var userName = $().SPServices.SPGetCurrentUser({ fieldName: "Name" });
 
var query = '<Query>' +
                '<Where>' + 
                    '<Eq>' +
                        '<FieldRef Name="SharePointUser" />' +
                            '<Value Type="User">' + userName + '</Value>' +
                    '</Eq>' +
                '</Where>' +
            '</Query>'; 
 
$().SPServices({
    operation: "GetListItems",
    async: false,
    listName: "UserAccessList",
    CAMLViewFields: "<ViewFields><FieldRef Name='Title' /></ViewFields>",
    CAMLQuery: query,
    completefunc: function (xData, Status) {
      $(xData.responseXML).SPFilterNode("z:row").each(function() {
            // will return only results that match the current logged in user
            // in the 'SharePointUser' column
            console.log($(this).attr("ows_Title"));
      });
    }
});