Hello, I'm Keith and happy to help you with your question.
However, I am having a bit of difficulty as to what you are actually getting at! I can understand companies wishing to contract with a UK company, but don't quite follow about 'how do I account for my time?' Presumably you wish to pass all business through your UAE company for convenience. In that case just invoice the UK company from the UAE company for the sums involved thus passing the moneys from the UK company to the UAE company. Your only costs would be the overseas transfer fees, so inflate your invoices to those organisations preferring to use a UK company to cover the additional costs incurred or bear the cost yourself. By this method the UK company will make minimal profits for UK Corporation Tax and all moneys will be available to the UAE company.
I do I have helped throw some light on how matters might be handled.