How to trigger an onkeyup event that’s delayed until a user pauses their typing?

You could combine a keypress event handler with setTimeout so that you send an Ajax request a set amount of time after a keypress, cancelling and restarting the timer if another keypress occurs before the timer finishes. Assuming you have a textarea with id ‘myTextArea’ and an Ajax callback function called doAjaxStuff:

function addTextAreaCallback(textArea, callback, delay) {
    var timer = null;
    textArea.onkeypress = function() {
        if (timer) {
            window.clearTimeout(timer);
        }
        timer = window.setTimeout( function() {
            timer = null;
            callback();
        }, delay );
    };
    textArea = null;
}

addTextAreaCallback( document.getElementById("myTextArea"), doAjaxStuff, 1000 );