The existing use class is A3. This can be seen from a rejected application from 2010. Link to the application can be found at:
http://planning.lewisham.gov.uk/online-a...CAPR_59147
or search for DC/10/73651 on http://planning.lewisham.gov.uk/online-applications/

Based on the situation with the Old Bank, a planning application from A3 to A5 would be required particularly since Dominos does not include any A3 (restaurant) provision in it's units.

The change of planning use would probably be accepted (as it was on appeal for The Old Bank), nobody could reasonable say that changing this unit to A5 would have a significant adverse impact on the high street.

The issues of moped noise and parking, and the distance from a primary school could be interesting issues.

Amazing how long it has taken Dominos to find a third unsuitable location for their SE23 outlet!