A basic skeleton using setTimeout() can be
var timer;
$('img').hover(function () {
timer = setTimeout(function () {
//do your stuff here
$('div').show();
timer = undefined;
}, 1000);
}, function () {
if (timer) {
clearTimeout(timer);
timer = undefined;
} else {
//hide the preview
$('div').hide();
}
})
Demo: Fiddle