Is there a bus connection from Chengdu to Chongqing airport and back to CD?

I am sorry that there is no direct bus. To Chongqing Airport, take a bullet train to Chongqing North from East Railway Station (about 1.5 to 2 hours). The trains are available from 6:45 to 21:43. A second class costs CNY 96.5 or 154; a first class costs CNY 116 or 246.5. Upon arrival, take shuttle bus line 2 to the airport for CNY 10 (about 30 minutes). The buses are available from 8:00 to 22:30 at intervals of 30 minutes.

For the return trip, you can take shuttle bus line 2 from the airport to North Railway Station for CNY 10 (about 30 minutes). The buses are available from 8:45 to 22:00 at intervals of 30 minutes. Upon arrival, take a bullet train to CD. The trains are available from 7:34 to 22:05. The duration and fare is the same with the onward trip.

Thanks so much Jacob! Does the shuttle bus leave from the Chongqing North Railway Station?

Yes! Upon arrival at Chongqing North Railway Station, you can take shuttle bus line 2 to the airport. The buses are available from 8:00 to 22:30. The frequency is 30 minutes, and the duration is 30 minutes. The bus fare is CNY 10.

Great, thanks a lot Jacob!