There don't seem to be any airbridges installed or in use at Tashkent, so arriving passengers are bussed to the terminal building. It is VERY important to get on the right bus if you are arriving from abroad and Tashkent is the end of your travel. You may otherwise find yourself in the Transit building (the former terminal building and a triumph of Soviet state architecture - see below) and you will find no-one at all interested in getting you over to Arrivals (in the "new" terminal building).

When you finally get to International Arrivals, you will come through a narrow door and straight ahead a desk - one desk - with a sign "Passports". If you already have a visa, fine; but if you are travelling on a Letter of Invitation, don't bother going further: turn right and rather to your rear and you will see the booth signed "Visas". Here, for $60 - in cash - you will get your visa while no further than twenty feet away the lady behind the Passport counter watches the process. When Visa matters are complete, you march over to her where she inspects you, your passport and your new visa, and slaps your passport down on the desk. Smiling seems to be forbidden - or maybe it's not natural at 3am, when all this probably takes place (because of Tashkent's place on the Earth, most inbound international flights arrive there in the small hours).

Then, luggage and Customs: while you wait for your bags you must complete TWO copies of the Customs Declaration. This form is reasonably simple, but requires a declaration of the amount of money you are bringing in AND of other goods. A Customs Official will carefully but uncomprehendingly read it, circle the amounts declared, and give you one copy back. If he doesn't, then shout. He is sometimes distracted by his need to monitor your bags as they pass through an X-Ray machine at the same time.

Keep this form safe!!  Uzbek authorities are relaxing about the failure of dumb tourists to retain it, but noise levels are lower and processes faster ( in a very slow, inefficient country) if you take care of it. On departure, you must complete an equivalent document (one copy) showing how much you're taking out. NB: you will need cash in Uzbekistan. It is not a credit card/ATM economy, and in the normal run of things you will take out much less cash than you came in with.

The airport is some 10 minutes from the centre of town. Don't spend more than $5-7 in getting there - you will have a lot of offers of transport, but there are metered taxis which ply a respectable trade, and unmetered cars whose drivers will agree a price in advance.

 Make sure to have your customs declaration form when getting out. More important is not to carry more money on your way out.  If you have failed to declare some currency while entering and they find it on you when you are getting  out, you could land yourself into trouble. If they find that you haven't spent much money during your stay, you could be subjected to more thorough scrutiny. So you have to show expenditure.