In reply to JonLongshanks:
Hi Jon
As Mical said, there's plenty of climbing here. Its mainly sport due to the quality of the rock, you will be in the right end of the country to experience it as well. I'm in Abu Dhabi and there's nothing here apart from an indoor wall. Best bet is to stick a post on this page and see if anyone is up for showing you Stardust: Real UAE Rock Climbers on Facebook.
This is the crag: https://dubaihiking.org/climbing/stardust-crag-ras-al-khaima.html
There's Rock Republic and MTN Extreme indoor walls in Dubai. Plus you can hike in SkiDubai if you want some cold weather (mornings).
Also plenty of hikes, scrambles and DWS along the coast.
Be aware its still super hot so hydration etc is a must. Bring a camelback or something for walks in and be prepared for early starts.
Enjoy