Presumably if you want to do this at a public airfield then you can't keep it low-profile so the CAA would have to be approached.
If indeed they would care - would they?? I somehow don't think they would prosecute. I suspect that, more likely, the airfield owner would not want it for fear of the lights going out when somebody is on short final and crashes on the go-around (a climb into total blackness, on instruments). The UK is full of people who would worry about that, and looking at the calibre of some pilots, who can blame some of them?
Private strip owners can do what they like. They won't have their own VHF frequency anyway so they would use any of the existing radio control solutions on the market.