This is the 5542nd most frequent Japanese word.
かじっ
"かじっ" is not a standalone word in Japanese; it might be a colloquial or incomplete form of "かじる," which means "to nibble" or "to bite."
Here, 'かじって' is used to mean taking a bite or tasting something.
あのリンゴをかじって、生のまま食べてみてください。
Please take a bite of that apple and try eating it raw.
In this context, 'かじった' refers to the metaphorical action of dabbling or starting to engage lightly in an activity, like homework.
この宿題はまだ少しかじっただけなので、全部終わらせるには時間がかかりそうです。
I've only dabbled a bit in this homework, so it might take a while to finish it completely.
In this sentence, 'かじる' is used in the literal sense of chewing or nibbling on something.