Try below event
Magento 2 :- 

    <event name="customer_save_after_data_object">
        <observer name="customer_save_after_observer" instance="Vendor\Sales\Observer\CustomereditPost" />
    </event>

Magento 1 : -

    <config>
        <adminhtml>
            <events>
                <adminhtml_customer_save_after>
                    <observers>
                        <My_WebService_customer_register_success>
                            <type>singleton</type>
                            <class>My_WebService_Model_Observer</class>
                            <method>customerRegisterSuccess</method>
                        </My_WebService_customer_register_success>
                    </observers>
                </adminhtml_customer_save_after>
            </events>
        </adminhtml>
    </config>