What should your policy cover?
Your university may offer you insurance, but it will probably only cover you for theft or loss from the university and the halls of residence.
Your own policy can offer you more options and the cover will be more specific. It can cover loss by fire, flood and theft and it should give you the option to add on accidental damage, which is a useful form of cover to have if you can afford it.
You should also look at insuring your bike, if you use one to get to and from university as this may not be automatically covered on a student home insurance policy, and possibly neither will a musical instrument if you play one. Double check with your insurer about cover when you’re away from home or university, in case there is a maximum distance you can travel before your cover runs out.
Some policies may include mobile phone cover, but it means you will be without a phone while the claim is being sorted out. It might be better therefore to have a separate mobile phone insurance, which could replace your phone immediately.