Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
self-complacent is an adjective meaning "contented to a fault with oneself or one's actions". It carries one recorded sense.
contented to a fault with oneself or one's actions
“he had become complacent after years of success”
“his self-satisfied dignity”
Definitions, synonyms and semantic relations for self-complacent come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.