Or search: impaired, anosmatic
2 Syllables: SU
caustic, cosmic, Fawcett, frosted, Gothic, logic, Ovid, profit, Slavic, wafted
3 Syllables: USU
agnostic, deposit, exhausted, geologic
4 Syllables: UUSU
catastrophic, diagnostic, philosophic, physiologic

Found 18 words across 3 groupings. Skipped 2 excess words of a similar stem.