Alright figured it out.
As Jacob pointed out, it should go into the script that makes data-name show as a tooltip.
So I added the following:
if (jQuery(window).width() < 480) {
jQuery(this).removeAttr("href");
}
My final code:
jQuery(document).on({
mouseenter: function(e) {
if (jQuery(window).width() < 480) {
jQuery(this).removeAttr("href");
}
setTimeoutConst = setTimeout(function() {
tooltip.open(e);
}, 200);
},
mouseleave: function(e) {
clearTimeout(setTimeoutConst);
tooltip.close(e);
}
}, 'a[data-name]');