In the event of a successful acquisition by ClozeSure, am I still liable for my conveyancer’s fees?

Yes, you are liable for all of your conveyancer’s fees.

The fees will be deducted from your sale proceeds by your conveyancer.  Your conveyancer will also deduct the fees due to your estate agent and the amount required to redeem any mortgage on your property.   You will then receive any remaining balance.   Note that your conveyancer will make an additional charge to you for completing the sale of the property to ClozeSure.