Display current user’s custom post meta in sidebar

The follow source is more formatted, but in the goal the same like your tests. You should see, the first line to get the ID is not necessary. You have the ID of the user, there is present.

If the loop get posts, it print a title and the date. Important is, that the post type exist and have posts.

<?php
    $args = array(
        'author'      => wp_get_current_user()->ID,
        'post_type'   => 'CUSTOM_POST_TYPE',
        'numberposts' => -1,
    );
    $cquery4 = new WP_Query( $args );
    if ( $cquery4->have_posts() ) :
        while( $cquery4->have_posts() ) :
            $cquery4->the_post();

        the_title();
        the_date();

        endwhile;
        wp_reset_postdata();
    endif;