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What's the distribution of duration of those light and dark, hot and cold cycles? A light-dark cycle that's anywhere from, say, 15 to 37 hours is still something of a clock, even if it can be off by a factor of 2. Any observable phenomenon that repeats can be used to time something.
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There are miniature suns drifting in the endless winds. When they drift near your floating island, or vice versa, you get light and heat in proportion. It's possible that more organized civilisations can steer in some fashion to maintain adequate (for them) levels.