If you're query comes down to removing a "spent" light bulb (as opposed to one that has actually "blown out" where the bulb is broken, probably at the base with part of the bulb remaining in the socket, then here's a handy piece of advice: Here in the U.S. (and, I suspect the U.K.) a gray, sticky tape can be purchased at any DIY store. It's usually called Duck Tape, but it was invented to seal the small gaps in forced air cooling/heating duct work… hence the actual name of the product is Duct tape. It's very sticky and made of a cloth like material. One can easel rip off about a foot of the tape from the roll and, while keeping the sticky side outward simply wad it up lightly into a ball about 3 to 4 inches in diameter. Then press this ball onto the stick end of your broom or mop (you do have one, don't you?). You should easily be able to reach the spent bulb and press the tape end onto the bulb and while holding mild upward pressure on the broom turn the bulb out of it's socket. To replace with a new one simply remove the spent bulb from the broom and replace with the new one. I've found that when replacing the new one, a small "back and forth" movement of the broom handle will help seat the new one to screw it in. If it has much resistance don't force it but turn back out and start over.
By the way, even if one can reach the bulb from a ladder or such, the tape wad then can be held by hand. It works especially well on warm bulbs that have just "blown out"...