IT's a good idea yes. Whilst Public liability Insurance covers you for claims for breakages and damage to customer's goods/premises etc it will not cover you for claims for giving negligent advice etc
Extracts from business link;
How liability insurance works | Business Link
Liability insurance
If someone is injured or their property is damaged, the person or business responsible may be sued and held legally liable for the injury or property damage. Where legal liability is established, damages will be awarded to the claimant to compensate them for their injury or the damage to their property. Where damages have been paid for an injury, the NHS is entitled to recover costs for hospital treatment, including ambulance costs. The person or business responsible will also need to pay legal costs, including the claimants'.
Liability insurance is designed to protect your business against these costs.
Professional indemnity insurance
If you are in the business of selling your knowledge or skills, you may want to consider taking out professional indemnity (PI) insurance.
What you will be covered for
PI insurance protects your business against claims for loss or damage by a client or a third party if you have made mistakes or are found to have been negligent in some or all of the services that you provide for them. PI insurance will also cover legal costs.
An extract from an insurer below:
Professional Indemnity Insurance Guide
Professional what?
If you’ve been asked to buy or recommended to have professional indemnity, but you’re still a little unclear about exactly how this insurance works to protect your business, you may appreciate this simple, easy to understand beginners guide written by leading specialist insurer
So what is Professional Indemnity insurance?
It’s the kind of insurance that protects your business from financially crippling and often reputation-damaging claims by dissatisfied clients. Because in this everything-by-yesterday world, even the most respectable companies can find themselves in dispute with a client over a mistake. Below we list some of the danger areas your business could be exposed to:
- Negligence: or breach of duty of care
- Intellectual property: unintentionally infringing on others’ copyrights, trademarks, broadcasting rights, any act of passing off
- Loss of documents/data: damaged, lost or stolen data and documents belonging to your clients
- Dishonesty: liability arising from the theft of your clients’ money