In which case you can create a template override.
Copy the file components/com_jevents/views/iconic/helpers/iconicdateicon.php to templates/YOURTEMPLATE/html/com_jevents/helpers/iconicdateicon.php and edit the copied file with this content
<?php
defined('_JEXEC') or die('Restricted access');
function Iconicdateicon($view,$lines, $title, $href, $class="", $event=false, $Itemid=false){
$params = JComponentHelper::getParams(JEV_COM_COMPONENT);
if ($event && $href && $params->get('iconlinkstoevent',0)){
if (!$Itemid){
$Itemid = JRequest::getInt("Itemid");
}
$href = $event->viewDetailLink($event->yup(),$event->mup(),$event->dup(), true, $Itemid);
}
list($year,$month,$day) = JEVHelper::getYMD();
if ($event->_multiday && !($event->yup()==$year && $event->mup()==$month && $event->dup()==$day) && count($lines)==2) {
$datestp = JevDate::mktime(0, 0, 0, $month, $day, $year);
$lines = explode(":", JEV_CommonFunctions::jev_strftime("%d:%b", $datestp));
}
if (count($lines)==2) list($line1,$line2) = $lines;
else {
$line2 = $lines[0];
$line1=false;
}
if ($href!=""){
if ($line1){
return '<a class="jevdateicon '.$class.'" href="' . $href . '" title="' . $title . '"><span class="jevdateicon1">' . $line1.'</span><span class="jevdateicon2">'.$line2.'</span></a>'."\n";
}
else {
return '<a class="jevdateicon '.$class.'" href="' . $href . '" title="' . $title . '"><span class="jevdateicon2">' . $line2.'</span></a>'."\n";
}
}
else {
if ($line2){
return '<span class="jevdateicon '.$class.'" ><span class="jevdateicon1">' . $line1.'</span><span class="jevdateicon2">'.$line2.'</span></span>'."\n";
}
else {
return '<span class="jevdateicon '.$class.'" ><span class="jevdateicon2">' . $line2.'</span></span>'."\n";
}
}
}