Each time a person searches for something online, it saves the search results to a document that they themselves can edit. Perhaps with simple tick boxes to either keep searching for the same thing at various intervals, or delete it from further searchings.
New items are added to the document without the tick to re-search (you never know what someone might search for). If new results are found they get sent to the person's email, text or desktop, wherever the person wants them.
The person can also edit the delay times between new searches.
Sounds like a perfect idea for an extension