Schooling, n.
1. Instruction in school; tuition; education in an institution of learning; act of teaching.
2. Discipline; reproof; reprimand; as, he gave his son a good schooling. Sir W. Scott.
3. Compensation for instruction; price or reward paid to an instructor for teaching pupils.
1 other Webster entry under this spelling
Schooling, a.
(Zoöl.)
Collecting or running in schools or shoals. Schooling species like the herring and menhaden. G. B. Goode.
Shades of meaning
Fernald has no entry of its own for schooling; he lists it under education.
He lists it without comment; the entries above explain its neighbors.