Can you change the timeout on the indicator icon so that you don't collect too many? Or is there another way to control the maximum number that will be displayed?

This is managed by time, not by number. You can set the time duration for these icons to appear, after that they disappear. The value is the same as the amount of time where the task itself will appear in the task list.

This can be set within the task definition itself. Or it can be set by the task itself.

To set it in the task definition, the followin construct should be used:

    <TaskDefinition ... resultLimit='3600'>

To set this in a workflow (task) the following would be used:

  <Action application='SET_RESULT_LIMIT'>

    <Argument name='limit' value='3600'/>

  </Action>

The value represents the number of seconds that the task and the icon will appear. After this time the task will be deleted and the icon would no longer appear.