In a bubble I'd be even more wary about working with other companies (I'm pretty wary as it is).
I rely on a lot of other companies to run my business. I have a web host, e-mail providers (for personal and bulk), multiple analytics providers, a cloud backup service, an open source content management system—and that's just naming a few types of businesses that I rely on.
In a bubble, it's more likely that any of these companies could disappear (but it could still easily happen in a non-bubble). I'd be even more diligent about having my data backed up and an alternative plan for if one of these companies goes out of business.
Another risk is that a company that you rely on will become too successful. Etacts is a perfect example. I loved their product and used it a lot. Now it's gone because Salesforce bought them.
I'd also be more aggressive about getting paid for advertising. Right now, I'm pretty relaxed about invoicing companies after I run a sponsorship campaign. I want to ensure that they're happy first. If I was really worried, I'd make them pay up front.
There are some things that I probably couldn't overcome. Google disappearing would be one. I'd lose 80% of my traffic, my e-mail, my analytics, and a bunch more.
You should always be wary of whom you work with. There are a lot of sexy startups for startups right now. They offer some great services, but what will you do when they disappear, kill the product you rely on, or get rolled into a bigger company? It will happen, bubble or not.