That's not a very helpful response. The text in the AP says "until it winds down" but doesn't say how long that takes and neither does the Beastiary entry.
Ah, found something. Under the Clockwork Construct Template:
Winding: The construct must be wound with a special key in order to function. As a general rule, a fully wound clockwork can remain active for 1 day per HD, but shorter or longer durations are possible.