In reply to karrlander:
Not that easy via London and a train - London being not exactly convenient for climbing. If you do fly to London, Luton airport might be best as it is the right side of London, but trains from there to anywhere worthwhile go via London, so not much help either.
Most straightforward would be fly to Heathrow and get a train from London Paddington to Bristol and the Avon Gorge, but it's a big urban crag rather than mountain. Or Chepstow and Wintours Leap
Swanage is accessible by train as above.
Frankly though, if there's two of you for four days, you'd be better off hiring the smallest car you can because the train will cost as much. THere you can go where you want, rather than where the train will let you.
Very rough timings by car:
Gatwick to Wintours Leap - 2.5 hours if outside rush hour(s).
Gatwick to Wales 4-5 hours
Gatwick to Cornwall - 5 hours
Gatrwick to Pembroke - 5 hours
Gatwick to Peak District 3.5 hours
Gatwick to The Lake District - 5 hours
For Heathrow, about an 45-60 minutes less to all of these. From Luton the same for all those to the West and 1.5 hours less for those to the north.
The M25 between 0630 and 0930 and from 1600 to 1930 is usually crawling, so add an hour to these timings if you're travelling then.
Train tickets bought on the day are a lot more expensive than those bought in advance.
The weather in November is you biggest enemy, especially on long routes to practice efficiency etc.
Cheap Flights to Manchester, Birmingham or Bristol?