Instead of playing the standard four to the bar rhythm, it often sounds effective to play the ukulele like a horn section, using short punchy rhythms and whole or partial chords. Many rhythms used by horn sections can be transferred directly to the ukulele. One of the most common is known as the Charleston rhythm (named after the dance, but originally from Africa). Here is the basic rhythm applied to a turnaround progression.
The following chord progression is similar to the song "The Charleston" and also "Has Anybody Seen My Gal?". The Charleston rhythm works well with many popular songs from the early 20th century.
By varying the length of the notes and moving the Charleston rhythm one eighth note at a time, it is possible to create many variations which are useful for comping. Learn the rhythms shown in the following example on one chord and then try applying them to a set of chord changes.