plain count up timer in javascript

Solution 1:

Check this:

var minutesLabel = document.getElementById("minutes");
var secondsLabel = document.getElementById("seconds");
var totalSeconds = 0;
setInterval(setTime, 1000);

function setTime() {
  ++totalSeconds;
  secondsLabel.innerHTML = pad(totalSeconds % 60);
  minutesLabel.innerHTML = pad(parseInt(totalSeconds / 60));
}

function pad(val) {
  var valString = val + "";
  if (valString.length < 2) {
    return "0" + valString;
  } else {
    return valString;
  }
}
<label id="minutes">00</label>:<label id="seconds">00</label>

Solution 2:

Timer for jQuery - smaller, working, tested.

    var sec = 0;
    function pad ( val ) { return val > 9 ? val : "0" + val; }
    setInterval( function(){
        $("#seconds").html(pad(++sec%60));
        $("#minutes").html(pad(parseInt(sec/60,10)));
    }, 1000);
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<span id="minutes"></span>:<span id="seconds"></span>

Pure JavaScript:

    var sec = 0;
    function pad ( val ) { return val > 9 ? val : "0" + val; }
    setInterval( function(){
        document.getElementById("seconds").innerHTML=pad(++sec%60);
        document.getElementById("minutes").innerHTML=pad(parseInt(sec/60,10));
    }, 1000);
<span id="minutes"></span>:<span id="seconds"></span>

Update:

This answer shows how to pad.

Stopping setInterval MDN is achieved with clearInterval MDN

var timer = setInterval ( function(){...}, 1000 );
...
clearInterval ( timer );

Fiddle