From Longman Dictionary of Contemporary Englishtop-heavyˌtop-ˈheavy adjective 1 BALANCE#too heavy at the top and therefore likely to fall over2 BBCan organization that is top-heavy has too many managers compared to the number of ordinary workers The company was burdened by a top-heavy bureaucracy.
Examples from the Corpus
top-heavy• The money is not for top-heavy administration but for research.• the school district's top-heavy administration• There is often an absurdly top-heavy effect, too, when the author named makes only a fleeting appearance.• Britain has a particularly top-heavy industrial structure.• How could I let my only boy on that top-heavy tub?From Longman Business Dictionarytop-heavyˌtop-ˈheavy adjective an organization that is top-heavy has too many managers compared to the number of ordinary workersThe company was burdened with a top-heavy bureaucracy. 