Is there a counter for comments left?

You can use get_comments() function to retrieve comments by user_id or you can modify the below to also accept author_email or multiple authors. It will then only return the Comment IDs as an array and count them up, returning the integer which could be 0.

/**
 * Count and return number of comments by User ID
 *
 * @param Integer $user_id - User ID of the wanted user
 *
 * @return Integer - Number of comments by given user
 */
function wpse284435_comment_count_by_author( $user_id ) {

    $user_id    = ( ! empty( $user_id ) ) ? intval( $user_id ) : get_current_user_id();
    $comments   = get_comments( array(
        'fields'    => 'ids',
        'user_id'   => $user_id,
    ) );

    return count( $comments );

}

$comment_count = wpse284435_comment_count_by_author( 7 );