This seems to be getting common with Quinn, when my insurance was up last month I never received a renewal from them despite ringing them 4 times and being told that it was in the post.
Insurers are required by law to issue your renewal and copy of No Claims bonus 15 working days before expiry, check out the Irish Financial Regulator site for more info. When I pointed this out to Quinn they tried to fob me off saying they had but the post has lost it. Every time I rang them up they said it didn't matter that I didn't get the renewal and that I could pay the renewal over the phone. This wasn't the point as I wanted to shop around. Then they wouldn't give me my NCB until after the policy had expired so in the end I had to go into the office and kick up a stink to get it as new insurer wanted it before cover would start.
I had every phone call and correspondence (or lack of if) well documented and sent a formal complaint to them last week so i'll see if they make any response. They lost my custom anyhow but that probaly wouldn't bother them.