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-indulgence is a noun meaning "an inability to resist the gratification of whims and desires". It carries 2 recorded senses.
an inability to resist the gratification of whims and desires
excess in action and immoderate indulgence of bodily appetites, especially in passion or indulgence
“the intemperance of their language”
Definitions, synonyms and semantic relations for self-indulgence come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.