I have been trying for a week now to come up with a solution to this issue. The time slider widget is not honoured by most widgets. That is if you set a "time window" and then try and run the summarize widget you will not get a summary of data in the specified time frame. You will get a summary of all your data.
This is also true for the Attribute Table widget among others. I have placed various queries with ESRI to resolve this without much success. This question came up last year but there has not been a solution as far as I am aware.
Would it be possible to modify either the Time Slider widget or the Summarize Widget so the two can "communicate" with each other ?
Any help would be greatly appreciated.