Interesting. Implicature seems similar to anapodoton. Here is a limerick I wrote about that on OEDILF:
"If you think I am going to take
Your insults..." [...you make a mistake].
That rhet'ric device
Is the overconcise
Anapodoton — no, it's not fake!
[Author's Note] Anapodoton (an-a-PO-do-ton): When a main clause is suggested by the introduction of a subordinate clause, but that main clause never occurs.
dictionary.com asks, did you mean anaptotic ???
Inspired by Kalleh's limerick, OEDILF's Philology Pete wrote his own definition - see here http://www.oedilf.com/db/Lim.php?Word=anapodoton