All 3 Uses of

consequence
in
Dr. Jekyll and Mr. Hyde

Black-Mail House is what I call that place with the door, in consequence.
p. 7.8

consequence = result

"Foul play!" cried the lawyer, a good deal frightened and rather inclined to be irritated in consequence.
p. 52.5 *

I met with one accident which, as it brought on no consequence, I shall no more than mention.
p. 92.2 *

consequence = significant result

Definitions:

(1) (consequence as in: a direct consequence of)
a result of something (often an undesired side effect)
(2) (consequence as in: of little consequence)
importance or relevance
(3) (meaning too rare to warrant focus)
meaning too rare to warrant focus:

In classic literature, consequential may refer to someone with too much feeling of self-importance as when Dickens wrote "Because he's a proud, haughty, consequential, turned-up-nosed peacock."

Self-consequence was used in a similar manner, but is more easily understood by modern readers since important is one of the modern senses of consequence.

Another classic sense of consequent that is similar to importance or significance refers to "material wealth or prominence" as when Jane Austen wrote: "They had each had money, but their marriages had made a material difference in their degree of consequence."