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chuckle with (a particular quality)
To laugh in a particular manner. I couldn't help but chuckle with delight when I saw the little girl feed her ice cream cone to her dog.
be rubbing your hands with glee
If someone is rubbing their hands with glee, they are very pleased about something, often something that is bad for someone else. Already the newspapers were rubbing their hands with glee and calling the place "Dr. Terry's House of Horrors". The party leaders are rubbing their hands with glee at Mr Galloway's troubles.