There is no single entry METV <- multi-entry tourist visa. :/ It's a 6 month multi-entry one. That lets you get stamped in for 60 days and then you exit/re-enter the country to get another 60 day stamp. you do that for the validity of the visa (6 months). You can get almost 9 months of stay in country (in 60 day increments) out of that visa.
Most thai consulates have a residency requirement meaning you get it from a thai consulate in your country or in a country you legally reside in.
As Patrick
@Pat***
pointed out, IF you legally live and work in Dubai you might be able to get it from the consulate there.