Go fly a kite!

go fly a kite

To go away and leave one alone because what is being done or said is very irritating. Often used as an imperative. A: "The experiment might work better if you actually knew what you were supposed to be mixing together." B: "You know what, Jenny? Why don't you go fly a kite?"
See also: fly, go, kite
Farlex Dictionary of Idioms.

go fly a kite

Also, go chase yourself or climb a tree or jump in the lake or sit on a tack or soak your head . Go away and stop bothering me, as in Quit it, go fly a kite, or Go jump in the lake. All of these somewhat impolite colloquial imperatives date from the first half of the 1900s and use go as described under go and.
See also: fly, go, kite
The American Heritage® Dictionary of Idioms by Christine Ammer.

Go fly a kite!

verb
See Go chase yourself!
See also: fly, go
McGraw-Hill's Dictionary of American Slang and Colloquial Expressions

go fly a kite

Get lost! Kite flying is an activity that is done far less now than in previous centuries. Accordingly, “go fly a kite!” is heard far less than “get lost!” “take a hike!” and “get your ass out of here!” (or something stronger).
See also: fly, go, kite
Endangered Phrases by Steven D. Price
See also:
  • get stuffed
  • go fly a kite
  • go jump in a/the lake
  • go jump in the lake
  • Go jump in the lake!
  • go play in (the) traffic
  • lake
  • DYJHI
  • DYJHIW
  • fine how do you do
References in periodicals archive
In the meantime, go fly a kite! Who knows, maybe your kite will end up on display here someday.