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An adverb clause consists of words, which also has a subject and a verb, that functions as an adverb, that modifies an adjective, verb and an adverb. This clause is usually introduced by subordinating conjunctions such as if, although, because, while, such as and after. The words in the sentence that consists the adverb clause are, "while I finish grocery shopping". 
"while i finish grocery shopping" are the words in the sentence that are the adverb clause. It is important to know the meaning of adverb clause. It is actually is a set of words that has a subject in it along with a verb and they modify an adverb or an adjective or a verb. I hope the answer has come to your help.