There used to be several unlicensed aerodromes in the UK that had ATC - Chilli's was one of them.
The concept of licensing aerodromes was not common (maybe unique to the UK) until very recently when ICAO introduced the idea of certifying aerodromes. In the UK, if you wanted an aerodrome licence (which you needed for public transport ops or for flying training) you went to one CAA department, if you wanted to have an air traffic service at an aerodrome (whether it was licensed or not) you went to another CAA department. Like any good civil service-like organisation, the two departments really didn't talk much so there was no tie-up between a whether an aerodrome had a licence and whether there was any particular air traffic service provided there.
Apart from ATC, you'll find two leves of service at UK aerodromes - A/G as Chilli mentioned or, possibly, Flight Information Service Officer. Neither are controllers but are permitted to provide certain information to pilots.