If not already yet, create a child theme
http://codex.wordpress.org/Child_Themes
Make sure you got your childtheme activated, and running properly.
In functions.php
of your child theme, put this
add_action( 'loop_start', 'mytheme_remove_meta' );
function mytheme_remove_meta() {
if ( is_single() )
add_filter('get_the_time', '__return_false');
}
I put it but nothing happened, the time part is still there… :/
I got this running in my local dev and it works for me.
I found a way to get rid of the date using the dashboard –> general settings.
Just select “custom” time format, but leave the box blank. This did the trick for me.
Good luck!