Would I regret buying a Celeron based laptop?

My old Toshiba Satellite is officially dead and I need to replace it. I saw a deal for a Dell Inspiron 1300 for $499, but the big red flag for me is the 1.6 Ghz Celeron processor. I always have it my head to never buy a celeron, but I don’t want to spend a lot of cash on a new laptop.

I really don’t need much power on a laptop, as it only used for internet access and VPN access back to my office. My Toshiba P3 1ghz has served me actually quite well for what my needs are. The other plan with a new laptop is that I will be running Linux on it exclusively.

So I ask the question, would I regret buying a laptop with a Celeron?