IAA allow it, CAA don't.
Contact Margaret Reddy at the IAA FCL office and she'll make it easy. She'll need scans of your GCAA licence, the LPC card, medical, the LST and type rating test and the most recent LPC reports from your training records on FOIP, plus of course a fee which can be done by credit card over the phone. I suspect that the EASA medical has to be current (I have been keeping mine up to date on trips home), but that is a question to ask Margaret. The type rating is restricted to UAE registered aircraft. That'd be sorted out when you did your LPC with a next employer, so not a worry - the key is to keep the EASA licence from expiring without the cost and hassle of doing your own private LPC every year.