Two years ago, I decided to try Progressive's website, to see firsthand this whole "we give you 3 quotes thing." Well, all 3 quotes (Progressive, State Farm, someone else) were waaaaaaaaaay lower (literally, half) than what I was paying with Geico. I made a decision to go with State Farm. Called Geico first to inquire about dropping coverage so I could move somewhere else. Guy puts me on hold for a few minutes, then comes back and gives me a better deal than any of the 3 previously better quotes.
You've got nothing to lose, I'd say go for it. Heck, I've since checked again and see that I can knock another $15 or $20 off my monthly.
For the record, I'm 30. No accidents or tickets, and I have an '01 Jetta GLX. I pay about $99/month for full coverage, $250 deductible, rental coverage, roadside assistance, etc.