compliment sb into compliance 用恭维话使某人应允
compliment sb on his success 祝贺某人的成功.

compliment sb with a book 赠书给某人以表示敬意.

Your presence is a great compliment. 承蒙光临,不胜荣幸
do sb the compliment of doing... 表示尊重地…,很客气地…,郑重其事地…
make [pay] a compliment to 赞扬,夸奖;恭维.

the compliments of the season (耶诞节、元旦等)节日的祝贺
Give [Present] my compliments to 请向…致意[问候]
make [pay, present] one's compliments to sb 向某人问好,问候
send one's compliments to 致意,问候
With the compliments of Mr. A=With Mr. A's compliments 某人敬赠(赠画时写于扉页上的套语).