Just in case anyone cares because I did the research on this a few weeks ago (including watching its creator say it numerous times) it's S-Q-L-Lite. Yeah, that seems like a duplication of the L but there you have it.
I've always pronounced it that way in my head, which has lead to a few typos searching for "SQLlite" or coding up a "SQLliteConnection". If I'd just learned to pronounce it wrong I would have been typing it right all along.