Grammar
N1AI-drafted〜にかまけて
being taken up with (and so neglecting)
Formation
N + にかまけて
Usage
Expresses that the speaker (or someone) was so absorbed in one thing that other duties were neglected. The following clause is almost always negative: something was not done, was forgotten, or was left undone. Typical nouns are 仕事, 遊び, 子育て, 忙しさ. It usually carries self-criticism or blame, so avoid it for praiseworthy absorption; 〜に夢中になって is neutral by comparison.
Examples
仕事にかまけて、家族との時間を作らなかった。
しごとにかまけて、かぞくとのじかんをつくらなかった。
I was caught up in work and never made time for my family.
遊びにかまけて勉強をおろそかにしてはいけない。
あそびにかまけてべんきょうをおろそかにしてはいけない。
You mustn't get absorbed in having fun and neglect your studies.
日々の忙しさにかまけて、恩師への連絡をすっかり忘れていた。
ひびのいそがしさにかまけて、おんしへのれんらくをすっかりわすれていた。
Preoccupied with daily busyness, I completely forgot to contact my old teacher.