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.
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
chuckle with somethingand chortle with something
to giggle in some manner because one is gleeful or happy. He chuckled with unsuppressed mirth at the antics of the strangely dressed people. Sally chortled with glee at the thought of Ken slipping on the ice.
See also: chuckle
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs. © 2002 by The McGraw-Hill Companies, Inc.