"But, my dear friend, put yourself in my place,” replied the Musketeer. “I was hipped to death;

I think it is obvious that "hipped" refers to being thrown in a wrestling match. Here is refers to an emotional state
after an unpleasant experience.

hipped 2
adj.
5< HYP(OCHONDRIA)6
1 [Now Rare] melancholy or depressed
>2 [Colloq.] having a great, often excessive, interest; obsessed: with on !hipped on movies"