As the question suggests, I’m looking for a plugin that can cycle through my latest five tweets one at a time, and via Javascript/jQuery, it automatically rotates between the tweets on a set interval.

I’ve looked at quite a few, and all of them can only either show one or multiple, but with no automatic cycling.

Thanks in advance.

Nice idea for a plugin!
I started to write one with Widget, Shortcode and Options page but will have to take on it later on…

Meanwhile, I’ve published the bare bone, that is: a plugin for doing a Tweet Cycler Widget.
https://github.com/brasofilo/tuit-cycler

The CSS adjustments and the Cycle plugin configuration have to be done directly in the code, check the FAQ.
Here’s an excpert of the ReadMe:

Tuit Cycler

WordPress plugin for displaying a Widget with x numbers of Tweets from a specific user. Displays one tweet at a time, and rotates them using the jQuery Cycle Plugin.

Description

Based on this WordPress Question, by Anriëtte Combrink.

Uses jQuery Cycle Plugin and jQuery Easing.

Function for grabbing the Tweets grabbed from the plugin Twitter Hash Tag Shortcode, by Bainternet.

A little trick for registering the Javascript files only when Widget active from this WordPress Answer, by One Trick Pony.

A little touch of style in the Widget admin area from this WordPress Q&A, by Jan Fabry.

Screenshot