Hi Chad,
Ok, this is for the Advanced Events List Widget. All you need to do in your override file is replace this line:
echo tribe_get_start_date( $post->ID, $start );
…with:
echo tribe_get_start_date( $post->ID, false, 'M' );
echo tribe_get_start_date( $post->ID, false, 'd' );
echo tribe_get_start_date( $post->ID, false, 'Y' );
echo tribe_get_start_date( $post->ID, false, 'g:ia' );
…which will separate out all the date/time components. You can easily wrap these with whatever HTML you want too. Does that help?
– Jonah