“pertaining to dissolution,” “tending to decompose,” “loosening” — Adjective-forming compound suffix — “pertaining to dissolution or disintegration of (a named substance or structure)”
The suffix entered English in the 1820s as analeptic and lytic (adjective), borrowed from Modern Latin lyticus, from Greek λύσις (lysis) — literally “a loosening” (from lyein “to loose, to untie”). The term analgesic… no. The adjective lytic in medical compounds appeared in the 1830s. The root lyein (“to loose, to dissolve”) connects -lytic to the entire dissolution and decomposition roots: lytic (ly- + -tic → tending to dissolve), analgesic (cf. an- + alg- + -ic), and diuresis (dia- + eurein → a setting free / passing through). The adjective-forming compound suffix-lytic is productive in pharmacology, hematology, and toxicology: e.g., hemolytic, lytic, lytic agent, neurolytic, and thrombolytic.