expression, adverb
without tiring of; without getting bored; endlessly
Literary or slightly formal expression meaning to do something continuously without growing tired of it. Often used with verbs like 見る, 聞く, 眺める.
彼は飽かずにその絵を眺めていた。
He gazed at the painting without tiring.
飽かずに語り合った。
We talked endlessly, never growing bored.
飽きる is the common verb 'to get tired of'; 飽かず is a literary adverbial form meaning 'without tiring'.
From the negative continuative form of the classical verb 飽く (aku, 'to tire of'), literally 'not tiring'. The modern equivalent is 飽きず (akizu) from 飽きる.