Describes a manner of speaking or explaining that is heartfelt, thorough, and patient. Often used with verbs like 諭す, 説く, or 語る. The word is a たる adjective/adverb taking と, so it typically appears as 懇々と.
切々 means 'earnestly' or 'passionately', often with a sense of urgency or deep emotion, while 懇々 is more about patient, kind, and thorough explanation.
Etymology
The exact derivation is uncertain. The kanji 懇 means 'earnest' or 'kind', and the reduplicated form 懇々 intensifies that meaning. The alternate kanji 悃 also means 'sincere' or 'earnest'.