You should never have to reenter any licensing details: OmniFocus doesn't permanently invalidate any licenses, it just won't use a license that is currently in use by another computer on the local network. If you quit both copies and then launch the one you want to use, you shouldn't have any trouble. (If somehow this isn't the case, then you may have encountered a bug! Please let our support ninjas know about the problem by sending email to
omnifocus@omnigroup.com.)
If you have feedback in general about our licensing policies, please let our sales team know by sending email to
sales@omnigroup.com.
Thanks!