Rikki-tikki-tavi, was the name of the mongoose in, The Jungle Books, Volume two by Rudyard Kipling.
QUOTE
He was a mongoose, rather like a little cat in his fur and his tail, but quite like a weasel in his head and his habits. His eyes and the end of his restless nose were pink; he could scratch himself anywhere he pleased, with any leg, front or back, that he chose to use; he could fluff up his tail till it looked like a bottle-brush, and his war-cry, as he scuttled through the long grass, was: ``Rikk-tikk-tikki-tikki-tchk!''
This is the common etymology, for Ricky Ticky, although it has little in common.