TAS airport is chaos with inadequate signage (and that's being nice). Follow someone who knows where they are going. Don't get caught up in Customs lines where they go through all Uzbek citizen's luggage - foreigners should be waved through the chaos with a growling smile and non interest.
On leaving TAS, absolutely 100% ensure your declaration of cash (in all currencies) shows you have less than you brought in. If you declare you have more (eg USD) than you arrived with, expect huge problems (ie you won't be ley out). They are most unlikely to actually check / count your cash. Note that USD cash was available from an ATM in one of the 5* hotels (can't remember which one).