You should be fine for work. I moved here a few months ago, part qualified ACCA, 10 years oil industry experience, worked as a management accountant back home. I put my CV up on some of the local job websites just to see what was out there. My phone rang off the hook for a fortnight.
Plenty of oil and gas jobs in Dubai. The oil industry in the UAE is centred in Abu Dhabi, but there are still plenty of oil companies (and even more oil service companies) in Dubai that act as a hub for oil industries in places like Iran, Iraq, etc, as Dubai is more attractive to ex-pats.
One job that sticks in my mind that I got a call about was a Senior Management Accountant position at Wood Group in Jebel Ali not far from where I am now. I think Michael Page had it.
I assume you're from the Aberdeen area?