≈1.662

The exact same sound appears at the exact same moment in both the original English version and the Japanese dub, which makes me think it's probably a separate sound effect rather than part of Woody's dialogue. In other words, it could just be a background sound. The problem is... I can't think of anything else in that scene that should be making a sound like that.

So until someone from the sound team tells us what it actually is, there's no way to know whether it's a tongue click, a random ambient sound, or something else entirely.

That's why I call it "Schrödinger's tongue click."

...Then again, searching things like "Woody clicking his tongue" doesn't bring up anything at all, so there's always the possibility that I'm just imagining it.