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As long as you clearly mark what the date is so that the reader knows your scenes are not in sync, you're okay in terms of clarity. But you should have a good narrative reason for doing so, and not...
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#4: Attribution notice removed
Source: https://writers.stackexchange.com/a/25119 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#3: Attribution notice added
Source: https://writers.stackexchange.com/a/25119 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
As long as you clearly mark what the date is so that the _reader_ knows your scenes are not in sync, you're okay in terms of clarity. But you should have a good narrative reason for doing so, and not just "the cliffhanger was exciting." From a reading perspective, I prefer that the scenes not be out of sync by more than a day or so. If you have characters who absolutely don't interact, it's easier to manage. (This also assumes that you're not telling a story which involves time-travel of any kind, in which case go nuts with asynchronicity.)