Unlikely to have gone as far as the The Time The Place classic, being pre-recorded
Or the lesser known incident on Central Weekend Live where they were taken off air two or three times during the same episode for audience members interrupting the live broadcast and a debate getting a bit too heated.
I remember watching it live at the time and I vaguely recall the show continuing afterwards with a chunk of the audience having been removed from the studio.
The Question Time episodes where the leaders were being questioned showed that the bookers can get an intelligent audience who are still BBC1-friendly - ie, can still produce a spark, can pin a leader down and cause some trouble for them, but still be in touch with the average punter's concerns.
Recent audiences feel like the BBC hired the person who books the Jeremy Kyle audience. At some point they need to remember they're on a publicly-funded PSB channel.