Answer is NO
From
http://www.ukba.homeoffice.gov.uk/worki ... ancesform/
When to use the change of circumstances form
You should use this form to notify us of any changes to your details if you are in the United Kingdom. This includes:
* changes to an application before it has been decided;
* changes to an application after it has been decided; and
* the type of change, for example, to your contact details.
So you need to use this when your application is in process and you are expecting some communication from Home Office. Once you have the VISA, you need not inform them about your new address.