With the timetable change two weeks ago Transport for Wales have now reintroduced the 2 hourly Chester to Liverpool Lime Street via Liverpool South Parkway (for shuttle bus to the airport) trains.
These had been started, then suspended due to lack of rolling stock across Wales, but are now back.
Timings can be found in journey planners on any train company website.
In December the service should become hourly.
It may prove a useful connection for some people, as it's faster than other routes including Merseyrail into Liverpool, then changing, if flight timings align.