Screenshot: http://i.balintk.com/98cb1d9e7092e055.png. Proof of concept for a Drupal module that provides a simplified user interface for editing a specific view. This way customers are able to make small adjustments without having to face the Views UI.

views_minimal_ui.module

<?php

/**
 * @file
 * Provides a minimal UI for editing a specific view.
 */

/**
 * Implements hook_menu().
 */
function views_minimal_ui_menu() {
  $items = array();
  $items['views-minimal-ui'] = array(
    'title' => 'Edit view',
    'page callback' => 'drupal_get_form',
    'page arguments' => array('views_minimal_ui_testing_form'),
    'access callback' => TRUE,
    'type' => MENU_CALLBACK,
  );
  return $items;
}

/**
 * Minimal UI form.
 */
function views_minimal_ui_testing_form($form, &$form_state) {
  // The machine name of the view that we are going to edit is `nodes`.
  // Load the view.
  $view = views_get_view('nodes', TRUE);
  // Select a display.
  $view->set_display('default');

  $form = array();
  $form['view_title'] = array(
    '#title' => t('Title'),
    '#type' => 'textfield',
    '#default_value' => $view->display_handler->get_option('title'),
  );

  // A filter on content type is already added to the view. In this example we
  // only allow the view to be filtered either on Articles or Basic pages.
  $filters = $view->display_handler->get_option('filters');
  $form['filter'] = array(
    '#title' => t('Filter on content type'),
    '#type' => 'select',
    '#options' => array(
      'article' => t('Article'),
      'page' => t('Basic page'),
    ),
    '#default_value' => reset($filters['type']['value']),
  );
  $form['submit'] = array(
    '#type' => 'submit',
    '#value' => t('Save'),
  );
  return $form;
}

/**
 * Minimal UI form submit.
 */
function views_minimal_ui_testing_form_submit($form, &$form_state) {
  // Load the view object.
  $view = views_get_view('nodes', TRUE);
  // Select a display.
  $view->set_display('default');

  // Set the new title.
  $view->display_handler->set_option('title', $form_state['values']['view_title']);

  // Set the new filter.
  $filters = $view->display_handler->get_option('filters');
  $filters['type']['value'] = array($form_state['values']['filter'] => $form_state['values']['filter']);
  $view->display_handler->set_option('filters', $filters);

  // Save the view object.
  $view->save();
}