That may be a good sign. One bad thing about support is that oftentimes, if there is a problem they're not too good about telling you that there is a problem and they are working on it, they'll just start working on it.
If it takes them a while to finish, this means you can't tell whether they're working on the problem or if they're ignoring you. Well, except for the fact that they're pretty much never ignoring you - you'll get a "there doesn't seem to be a problem now" response if that's happening!
Check on your server load periodically. If it happens periodically rather than consistently, it'll take support a while to figure it out. If it happens consistently, though that's bad for you it means it'll be pretty obvious to the support team what the problem is. If it's a periodic problem, I usually try to find a pattern that I can send them to help identify the culprit. This also helps to make sure that I'm not the culprit!
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They're Dreamhost coupons!