Prevent user from changing any account data once it is setup

Question

By default, the customer account page shows Edit links with the customer Billing and Shipping addresses.

You could override this template to remove it, but you can easily remove HTML elements via jQuery as well. As both of these edit links have the CSS class .edit, you can target both with one statement. Use the following code on your functions.php.

// Remove "Edit" links from My Account > Addresses
function sv_remove_edit_account_links() {
    wc_enqueue_js( "
        jQuery(document).ready(function() {
            jQuery( 'a.edit' ).remove();
        });
    " );
}
add_action( 'woocommerce_after_my_account', 'sv_remove_edit_account_links' );

Change Account Welcome

The account Welcome message also mention editing account stuff. You can easily filter to translate this text. You’ll change this text to remove the mention of managing shipping and billing addresses. Use the following code on your functions.php.

// Change the "My Account" welcome text
function sv_change_wc_account_welcome( $translated_text, $original_text, $domain ) {

    // bail if we're in the admin or not using a WooCommerce string
    if ( is_admin() || 'woocommerce' !== $domain ) {
        return $translated_text;
    }

    $text="From your account dashboard you can view your recent orders, manage your shipping and billing addresses and <a href="https://wordpress.stackexchange.com/questions/312428/%s">edit your password and account details</a>.";

    if ( $text === $original_text ) {
        $translated_text="From your account dashboard, you can view your recent orders, shipping and billing addresses, and <a href="https://wordpress.stackexchange.com/questions/312428/%s">edit your password and account details</a>.";
    }

    return $translated_text;
}
add_filter( 'gettext', 'sv_change_wc_account_welcome', 10, 3 );

Now once you’ve put these two snippets together, our account welcome message will be changed, and the Edit links will be removed for both customer addresses. This leaves the customer with the ability to edit the core account details like name, but not the addresses.