What’s to know about these?

My 27 year old gf has just passed her test. Found a 2012 aygo for £3.7k with 25k miles and FSH. Got A/C and Bluetooth etc

I know these are meant to be bomb proof with proper servicing, but was wondering if there is anything to look out for with these? Did a HPI check and all clear.

Still is disbelief insurance on it for her is £700 after only just passing yesterday