i had this today! i have changed from aa to swinton, swinton said they would cancel my policy on friday of this week
so i phoned them gave them my cars reg and policy number and the aa phones number they did it all for me... its normal for your new insurer to phone for confirmation of no claims and....they found out i have 10 years no claims so wey hey they saved me another £35!
give them all your details and your car or previous car and ask nice they will do it
hope that helps and makes sense,... i've had a few drinks