I know wikipedia isnt always reliable but it had this to say about the Chin

In one instance during the wake of a Genovese member, Gigante pulled aside Victor Amuso, the acting boss of the Lucchese crime family, to discuss the Lucchese's families encroachment on his families "Windows Racket". Gigante told him he'd be "lucky to leave this wake alive" and the Lucchese family subsequently gave in to Gigante's demand to back off.

I can believe it - the Chin was a bad ass