I did it for my first Dunwich Dynamo and certainly felt the benefits after my first coffee for 3 weeks, but I wouldn't do it again. The withdrawal symptoms are long lasting (2-3 weeks of headaches that painkillers won't quite shift, nausea, dry mouth and lethargy) and you only get a boost of a couple of hours when you fall off the wagon.
Worse, once you've had that first cup, you're addicted again and it will take another 2-3 weeks' withdrawal. It's a purely physical addiction; I don't even want tea or coffee in the heat of summer but, if I forget, I'm reminded 12 hoyrs later by my pounding head.
Instead, I'd reduce down to two cups of tea a day (morning and night) so you're on a very low dose. Then coffee gives a bit of a lift (it contains mucb more caffeine than tea) but you don't have to go cold turkey.