Obstacle clearance takeoffs are sometimes required in smaller runways, and are commonly required for water takeoffs, as it is very common for a lake to be bounded by trees, and perhaps hills. And your takeoff path on a lake is very much less likely to be accompanied by dimensions (hence preplanning with Google Earth in recent years!)
In the UK of course there are many fields that fit your description. However, for decades it had been required that ab initio training must be done from a licenced aerodrome. Therefore all the parts of the international airport licence also formed the same for even the smallest of airfields where training took place. These airfields have an ATZ and are required to have a detailed survey. They are also a statutory consultee for planning purposes. Obstruction data was therefore always up to date.
Since EASA training aerodromes are no longer required to be licenced but most have retained their licenses for the benefits and protections it brings.