Hi Rob,
Typically no, standard licenses do not transfer. However, EvoStream tries to accomodate customers whenever it can when hardware changes are necessary. To simplify this issue, EvoStream will be introducing new licenses in the next month or so which are not tied to specific computer instances. That next release will be 1.6.2, so anyone who has purchased a 1.6.x license will be able to upgrade into those new licenses and take advantage of the flexibility and new features in that release.
Bryan