Wish I could find a sample of running hand by one of the masters. I'm attaching the closest thing I could find after searching my digital archives. It shows some of the aspects of the running hand in more of an Ornamental style.
@daviddigi As you correctly note, your sample is not formal running hand, which, if I recall correctly, has 2 letter spaces between each letter. The term "running hand" was used loosely by a number of penman/teachers to describe a general flowing hand (of which your piece could be an example). Another example would be plate 15 of the Spencer brothers
New Spencerian Compendium. Examples of formal running hand are rare, as it is truly a novelty script and not too practical--a few words take up an enormous amount of paper. If you would like, I'll look through what I have and post a couple of other examples if I find them and you are interested.
Here is an example by C. P. Zaner (from Michael Sull's book
Spencerian Script and Ornamental Penmanship, Vol. 2, page 540).
You're on the right track--good work.