“lick”意思是“舔”，lick the habit这个短语的意思是“戒掉坏习惯，戒烟”。

【例句】
But this time I'm going to lick the habit even if it kills me!
这次不管怎样我都要戒了这个坏习惯！

Honey, I know I'v tried to stop smoking before. And I didn't have the willpower to stop for more than a month or two. But this time I'm going to lick the habit even if it kills me!
亲爱的，我知道我以前也试过戒烟，却从来没有意志坚持到一两个月以上，但是这一次我是拼了命也得把烟戒了。