What qualifies as a "takeoff" and "landing" in currency requirements?
There's more than enough room to land to a full stop, take off, climb to (e.g. 50 feet AGL), then immediately land again to a full stop without needing to go around the pattern.


50 feet is completely arbitrary. Why not 5 feet? If the wheels leave the ground and touch back down, you took off and landed didn't you?

The regs exist to make sure you're maintaining some basic proficiency. Cutting corners to fulfill the letter of the law without actually refreshing your skills does no one any good — least of all you. Besides, as jwzumwalt pointed out, it most likely wouldn't meet the FAA's definition of takeoff and landing.