There's no problem with getting insurance for dual training, but to get the hull insured for students to fly solo has both a high premium and a high excess (several thousand pounds). The schools that allow students to fly solo on school machines take a large (£5000 or so) deposit to cover the insurance excess in the event of hull damage.
If you need some general advice probably the best contact is Rotorsport UK. They import the MT-03 gyroplane. It's the only UK approved factory-built gyro in the UK, so you're training you'll inevitably be using one of theirs!
Rotorsport UK