How to trigger WooCommerce user profile edit change?

Try this below code

add_action( 'personal_options_update', 'save_user_profile_update' );
add_action( 'edit_user_profile_update', 'save_user_profile_update' );

function save_user_profile_update( $user_id ) {

    update_user_meta( $user_id, 'address', $_POST['address'] );
    update_user_meta( $user_id, 'city', $_POST['city'] );
    update_user_meta( $user_id, 'postalcode', $_POST['postalcode'] );
}