It seems to me that on every connection we’ve had at Heathrow, whether landing and still connecting at Terminal 5, or connecting to a separate terminal, has involved a passport check, followed by a security screening. How close to the front of the plane will you be? Have your bags ready to roll, ASAP. Walk fast once you’re off the plane. If there’s a queue, don’t hesitate to explain your connection situation to an airport staffer in a purple uniform. Once when we had a late plane arriving at Heathrow, they moved us up in the queue to get us thru the passport check and onto security.
Heathrow seems to wait until the last minute to announce from what gate your ongoing flight will depart. Get to your departure terminal as fast as you can, but then you might still be waiting to determine from which concourse and gate you’ll be going to Geneva. Make sure SWISS knows you’re at Heathrow, with your carryon luggage, and await the announcement of the gate for your flight. You’ll be scrambling as much then, to make it to the gate, as you’ll have been, making it off the plane, through the checks, and to your departure terminal. Don’t tarry, but you should be OK, as long as your flight to London doesn’t arrive late.