There are no perfect rhymes for the word dreamily.
The word "dreamily" is an adverb. It describes how something is done, in this case, in a dreamy manner.
Dreamily is an adverb because almost all of the time any word ending in -ly will be an adverb.
No, it is not a verb. It is an adverb. The word dream is a noun or a verb, and dreamy is the adjective related to the adverb dreamily.
I dreamily elaborated the events of the previous night.
dreamily
more dreamily, most dreamily
I am not writing a sentence using that word.
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I am saying a sentence using the word collagen.