chuckle with

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.
See also: chuckle, particular
Farlex Dictionary of Idioms.

chuckle with something

 and 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.
See also:
  • chuckle with (a particular quality)
  • quality
  • chortle with (a particular quality)
  • chortle
  • chortle over (something)
  • scream (one's) head off
  • scream, shout, etc. your head off
  • shout (one's) head off
  • yell (one's) head off
  • yell one’s head off
References in classic literature
The chuckle with which he said this, and the chuckle with which he paid for the Turkey, and the chuckle with which he paid for the cab, and the chuckle with which he recompensed the boy, were only to be exceeded by the chuckle with which he sat down breathless in his chair again, and chuckled till he cried.
Christmas Carol
ROYAL favourite Norman Wisdom played the court jester yesterday - and made the Queen chuckle with his trademark funny walk.
Knight of the royal laughter