The first level in the gangster
Mafia hierarchy, according to the movie Donnie Brasco. In that movie, Al Pacino explains that there are four levels of Mafia guy: Connected guy, Made Guy (aka Wiseguy), Skipper, and Boss. Connected Guy is a guy who is vouched for by a Made Guy. He is referred to as "a friend of mine" by said Made Guy, but is not yet part of the Mafia yet.
Hey, don't piss off any of Rizzo's friend, he's a connected guy.