If you'd like to hear what sounds like a click consonant in Chechen, try this very pleasant, well produced song by Aza (Britney x 100).
http://www.chechnyafree.ru/ram/music/938.asx
What appears to be a voiceless, unaspirated glottal stop is here: 4th line, 2nd syllable.
It's a very pretty song. Thanks for posting it.