The story
Reduplicated diminutive talk + -ee. Compare Dutch takitaki (“pejorative term for Sranan Tongo”), Sranan Tongo takitaki (“to jabber, to chatter; chatter, idle talk”).
Etymology from Wiktionary, CC BY-SA 4.0.
talkee-talkee
Today it means: A creole, especially the Anglo-Dutch language spoken in Demerara and elsewhere in what is now Guyana and Suriname. Full definition →