1
general::
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.
American Heritage Idioms
2
general::
Phrase(s): Go fly a kite!
Go to Go chase yourself!
McGrawhill's American Idioms And Phrasal Verbs