I know with Jobber, you can export your reports and other things to some degree. I am a Jobber user and I can export a variety of reports among other things into an excel or similar format. I know, just with speaking to Jobber's Co-Founder Sam, that Jobber is hiring and trying to keep up with the overwhelming demand for their product. I don't see them going under anytime soon. Plus, if one was to go under, I know Jobber among other companies would send out an email in advance stating the situation and give you ample time to export. I also know that many service software companies like Jobber, even store your data even after you close your account. This is because of cloud storage being so cheap and that you would have your records if you were to become a customer again.
Anyways, I wouldn't let your fear hold you back from choosing a cloud-based software company!