This is the 6306th most frequent Japanese word.
コンプ
"コンプ" is short for "コンプレックス" (complex), often referring to feelings of inferiority or insecurity.
In this sentence, 'コンプ' is used as a verb derived from 'コンプリート' (complete), referring to collecting every item in a set.
彼は全ての限定版をコンプしました。
He completed collecting all the limited editions.
Here, 'コンプ' is short for 'コンプレックス' (complex) and refers to a psychological feeling of inferiority.
彼女には美人コンプがあると感じる。
I feel she has a complex about beauty.
In this example, 'コンプ' refers to achieving completion of a set or collection, emphasizing the difficulty of the task.