If there was one feature I wish Twitter would improve, it would be its live search feature (aka real time search). While the service works really well in tracking live discussions, its relevancy fades the further back in time one searches.
What makes this service truly remarkable is the ability to track events in the past, as well as receive email alerts regarding virtually every topic under the Sun (a tool that might be useful for businesses and marketers).
Unfortunately Google has yet to implement live search upon the iPhone, something their rival Bing! has done (albeit only for US users).
While live search is a feature that will probably not interest too many people outside of the geekosphere (as many people are fine with static news), it could give Google leverage over Facebook (the latter who could potentially launch a social search engine of their own in the not so distant Â future).