Modular clutch construction in which a clutch cover assembly, concentrically containing a pressure plate actuating a clutch disc assembly, is fixed to the flywheel of an engine as a modular unit. The construction improves the modular connection between the clutch cover peripheral wall and the flywheel; in particular through the use of pins to restrain the cover from whirling relative to the flywheel, and by a taking advantage of a method of starter ring-gear installation in which the gear is shrink-fitted over the flywheel with the clutch cover peripheral wall intervening, such that the circumferential end margin of the clutch cover is simultaneously clamped between the ring gear and the flywheel cylindrical surface. The clutch cover is thus secured onto the flywheel in an assembly stage of reduced steps, by comparison with methods employing bolts or other fasteners as the primary connecting means. The modular connection can further be by matching mortise and tenon forms, or by mutually engaging threads, in corresponding portions of the flywheel and the clutch cover.