The Brexit campaign claimed that by leaving the EU, the UK would ‘take back control’, not least by regaining control of immigration, freeing itself from unnecessary red tape and unnecessary regulation, and being able to pursue its own trade deals. The campaign’s promise was that a free global Britain would be able to overcome Rodrik’s trilemma and reconcile globalisation, sovereignty, and democracy. Over a year after leaving the Single Market, the UK is now exposed to the fact that there is a tension between these three aims, and that economic integration has been weakened by the negotiated trade agreement. This paper presents new data on how UK businesses assess the gains and losses of having left the Single Market, and which would be their preferred trade model as a result.