I just came from Uzbekistan (May 2019) and I went through Tashkent Airport 3 times. About sightseeing everyone knows or can read in a guide, but when everything goes about customs rules or security checks, I felt lack of information everywhere an, let's see, fear, as I have to travel with prescription medication, laptop and big photo camera.
I'm from Spain settled in Ukraine for a while and my ways of moving 11 days through Central Asia was the next:
Kiev-Almaty by plane (Air Astana)
Almaty-Tashkent (Uzbekistan Airways)
Tashkent-Samarkand (slow train)
Bukhara-Tashkent by plane (Uzbekistan Airways)
Tashkent-Almaty by plane (Uzbekistan Airways)
Almaty-Kiev by plane (Air Astana)
1) ARRIVAL AT INTERNATIONAL TASHKENT TERMINAL: According to the topic here, I was so concerned about all the checks that you need to endure at Tashkent airport. No issues! I arrived in the international terminal for arrivals (a modern and efficient building) and passport control was very straightforward. Not a single question, on the contrary: officials at the airport were very welcoming, spoke English and look eager to see tourists. Luggage on the belt was handed very quickly, no more than 10 minutes after passport control. Then, it came my biggest fear: Crossing customs with sleeping pills (apparently limited). I asked to the custom official if I should declare this medication and she told me that for such small quantity (there were scarcely 6-7 pills but she was looking the literature) there's no need. Everything so efficient and with good manners. Officials seem more worried about electronic equipment. Other medicines were also not checked, although it's true that customs controls can be tight and tough, especially if you are traveling with heavy or oversized luggage (not my case). A crowd of taxi drivers is waiting outside the terminal and they are ready to rip you off at any time. Keep your way ahead and don't pay for a cab ride more than 5 USD even if you go to the end of Tashkent.
2) DEPARTURE FROM BUKHARA AIRPORT: I also took a domestic flight between Bukhara and Tashkent. In Bukhara's airport I had to undergo very tight controls. First, at the entrance of the airport perimeter. It was quick. Second, at the entrance of the building. It was also fine. Third, passport check after baggage drop-off. Fourth, and the annoying one, before the gate. It seems that Bukhara Airport doesn't see many tourist (most go by train). Then, when the guards at the control see a western foreigner they started to ask me whether I liked the country, what is my opinion about Uzbeks, how is football in Spain, everything in a funny way but at the same time, they were checking deeply my Mc Book Air, my charger is a little bit deteriorated and they were checking and re-checking the broken cable (they thought it could catch fire). They also overlooked my hardware and camera but no inspection of the content. All the security guards were very pleasant, but of course, it's annoying that you need to have all your electronic devices and chargers fully checked. Medication not checked. Anyway, I felt overwhelmed with how many checkpoints you need to struggle for an easy domestic flight. All in all, 30 minutes spent just for control procedures.
3) ARRIVAL AT DOMESTIC TASHKENT TERMINAL: Far away from international terminal. A bus brought us there from the runway. No controls. New room with only one belt. Checked-in luggage arrived soon and not a single security issue. Small but modern and clean building. Taxi drivers waiting outside.
4) DEPARTURE FROM TASHKENT INTERNATIONAL TERMINAL: Boring experience but good and helpful officials. Checkpoints every 10 meters. First: entrance to the airport perimeter through a detector arch and first passport check. Second, at the building, another passport and luggage control. Third: Customs, they ask you if you bring more 2000 USD. Hand luggage screened. No problems with medicines nor electronic devices. Even one custom official spoke Spanish and he was very happy to see me there
Fourth: Main passport control. Everything very quick, registration slips just overlooked. I think these slips will not be needed anymore in short time. No questions and very friendly border officials. Fifth: Another plane ticket and passport control. Sixth: Security control before entering the gates. Hand luggage carefully checked but not as much as in Bukhara. First time in my life I had to stand 6 controls to access a plane. Annoying but, surprisingly, efficient process.
To sum up, I would say that despite the fact of bad reputation that border and customs officials in Uzbekistan have, I found something completely different. Very friendly, pleasant and helpful staff everywhere. They spoke English. They never harassed me, all procedures were always with a smile and you always have the chance to dialogue with them and explain them everything. They looked quite professional and understanding people, pleased to help visitors. Very quickly passport controls. Uzbekistan is becoming a very friendly tourist destination and they offer good management, but it's true that they take their work very seriously when it's about electronic devices. You will avoid time if you don't travel with computers or other suspicious stuff. Also don't bring too many medicines, only what you need for your trip in small quantities. Green corridors work very well and passport inspections are not hard (I'm EU citizen, I don't know how it works with Americans).
Departing experience from Tashkent Airport much better than leaving Almaty Airport (Kazakhstan). In Almaty, passport inspection is tough and difficult (like in Russia), easily they check and re-check (serious faces) with optical devices and lights whether all is right with your passport (the passport control can last up to 15 minutes) and security checks before the gate can be annoying. I was sent (as all foreigner men) to an inspection room for laptop and body check. In Almaty, officials look less welcoming to foreigners than Uzbeks. But as far as you don't do wrong things, you will not have problems in any country.
***Tashkent metro checks were also very good. Police very talkative and friendly. They even let me take pictures inside the subway.
**Uzbekistan Airways seems to me a very good airline too. 3 flights conducted by Airbus A-320, my favorite aircraft with standard service. I don't know why it's said in this site that it's so bad.
*Air Astana is a top air carrier. Very great treatment and custom service.