I'm a resident at Chester and at the moment there is no formal flying school other than an IR school that operates a Turbo Arrow and a leased Seneca. I think there will be another school set up in the near future but by whom is not yet clear.
As far as I know there are groups running around a Warrior and a Beagle Pup. The Robin group is news to me but I did see it there recently so presume it's as described on the web site.
The airport offers excellent facilities with full ATC, big runways and twin ILS. However as a private airfield there are protocols and procedures decreed by Airbus that make life a little formal. It's strictly perfect RT and full yellow jacket territory. ;-)
You will also need to be an ace at crosswind landings as the wind is only down the runway twice a year! :-)