Andrea named his business in honour of his uncle Ciccio, a partigiano, an Italian guerilla fighter, who rose against the fascists during the WWII.
Ciccio is also an affectionate name which roughly translates as my "chubby mate", suprisingly aligning with the Australian tradition of larakin comradery.

Andrea Caroli Source: www.cicciopizza.com.au

Andrea Caroli - Cicciopizza Source: Dario Castaldo