Kind of a mixed bag. The flat has some lovely features: very quiet, surrounded by gardens and trees, and lots of light coming in through big windows. The location is fairly remote -- nearly a mile to the nearest train station -- but it's only 13 minutes to Victoria once you're at West Dulwich. I had a bike, which made things a lot easier.
There are several unexpected things about the flat that potential tenants should know, though. One is that access is through a sort of tunnel through a row of houses, then a very narrow path along a hedgerow, all of which is unlit and pitch black at night; I tripped and fell twice, and ended up having to use the lamp on my phone to get home. The WiFi goes out 5-6 times a day for a few minutes at a time. The ceiling leaks in the rain. The heating and water heater are both on-demand, meaning you press a button in a closet and wait 30-40 minutes if you want to take a shower. The lovely garden also contains piles of garbage and an abandoned, overgrown van. Cobwebs adorned most of the corners. And the bed is an ailing fold-out futon, and one of the less comfortable I've encountered in dozens (hundreds?) of Airbnb stays.
If these issues don't discourage you, and the price seems right, then you could be really happy here -- West Dulwich has a lot going for it, and I really enjoyed biking around the neighborhood and getting to know the local pubs.