I'm not sure I completely follow your question, your title and descriptions seem to conflict. Are you looking to get the value you a specific cell on click? Your question says you want the value of a row...
If I understand it correctly, you either want the value of a specific cell when it is clicked, or you want to highlight the row of that cell that you are clicking.
I have setup a codepen http://codepen.io/anon/pen/oXNeMx with a simple solution.
Depending on how the table is generated, you can put that javascript code into it's own function and call that function whenever you have new AJAX data so that the click handler gets bound to the table and elements.
//handles table cell click events
$('td').click(function(){
//updates the value
var cellValue = $(this).html();
//find the row of table where cell was clicked
var tr = $(this).closest('tr');
//removes select class from all rows
$(tr).siblings().removeClass('highlight');
//adds class to highlight selected row
tr.addClass('highlight');
});