If you want to guard against claims made by others for any accidental damage caused by you or your cycle, you may want to consider CTC's Third Party insurance.
CTC members are automatically covered up to £10 million by this policy, including using cycles for business use. But note that you are NOT covered if you are specifically employed as a cyclist, for example as a bike messenger. It is not possible to buy this policy separately from CTC membership, although members of affiliated clubs can take it out at reduced rates.