Answer:
D. adverb phrase
Explanation:
The phrase, between the brackets, with caution, is an adverb phrase. An adverb phrase is known to be a group of groups which function as an adverb in a sentence. Such phrases, just like an adverb, can modify or describe a verb, an adjective or even an adverb. Adverb phrases answer the question of how, when, where and why.
In the given sentence, the adverb phrase, with caution, simply tells how to behave when running with a sword in the presence of people around you.
Therefore, option D is the correct answer.