Good morning, yes, there is a service or rather there used to be as the server and the hard disk of the service has died. It's http://www.loudtwitter.com/
The service appears to be back soonish, according to it's Twitter updates: http://twitter.com/loudtweeter
And this is the kind of example of a post, although that's customisable to include @replies as well as time of post and frequency: http://carocat.co.uk/2009/06/27/daily-twitter-updates-55/ and this is the category with all the posts from it on my blog: http://carocat.co.uk/category/twitter-updates/ and some are in here as I'm currently messing about with categories! http://carocat.co.uk/category/life-in-general/
Give it a few days/weeks and it should be back.
I have yet to find another similar service that works with the free wordpress.COM service as most are set out for the downloadable/selfhosted version. Technically [and I'm just theorising here..] it should work with any other service that offers posting directly via email.
Personally I have full faith in @loudtweeter's return shortly. :)