We had an amazing stay at Jago Gili Air. It is very centrally located, with many nice and good restaurants nearby, and only a 4 minute walk from the pier. The staff deserve the biggest compliments at this hotel. They made sure we had everything we needed during our stay.
The breakfast is good, and the coffee was actually the best we have had on the island.
The only major downside for us was the noise from the mosque several times a day, but also in the middle of the night starting from 4:45 AM. Because of this, we unfortunately experienced very little sleeping comfort. Of course, the hotel cannot do anything about this, but we would have liked to have read this earlier in the reviews, which is why I am mentioning it. If you are a light sleeper like me, I would not recommend staying at a hotel in this area.