occasional observations on English pronunciation features, phonetics, teaching and learning
Here's my impression of some days ago, similar to Sidney Wood's: "my best bet is that there is something between the (single) k and the l, and that it is a non-syllabic ɪ or a j, probably labialised."
Thanks Petr. Hearing the k in isolation, I can't really confirm any rounding in the aspiration. And just one final syllable, kl+schwa, no syllabic k. I probably say it like this myself.