"We anticipate that the clinical program will receive accreditation by the American Psychological Association; however, this can occur no earlier than 2005. Clinical Science students who graduate after that APA approval is granted can state that their degree was from an APA-accredited program. "
-From Harvard's Clinical Psych website. I know this is somewhat off topic, but I'm pretty sure Harvard is seeking APA accreditation. They're a clinical science program, to be sure, but that doesn't mean they're not seeking accreditation.
I agree with the other posters. If you go the non-APA accredited route, you're likely cutting back your options (particularly for clinical work), so if you're looking for a scientist-practitioner program then make sure it's accredited. If a program's website doesn't say it's accredited (which is probably means it's not) an easy way to find out is to check the "Graduate Study in Psychology" manual, which APA publishes each year. It's available in libraries and most bookstores and details every APA-accredited program in school, clinical, and counseling psych.