It's all perspective, I guess. I was pissed when I joined a shop that wouldn't give me a phone. I had been cell phone free for 5 years and didn't want my own. Instead, I get a per-paycheck stipend to cover work-induced costs.
The up-side, however, is that I felt free to unplug my desk phone and totally ignore it. For some reason, that really reduced my stress.
That sounds like a source of stress right there. If the company gives you a phone I assume it means they own your ass every moment of every day.